Prompt:
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Answer the following question based on the table information. Let's think step by step. Provide a concluding answer in a JSON structure, using the format {"answer": "<YOUR ANSWER>"}.
Patrick conducted a blind taste test on some of his friends in order to determine if organic fruits tasted different than non-organic fruits. Each friend ate one type of fruit. What is the probability that a randomly selected friend tasted apples and preferred non-organic? Simplify any fractions.

Let A be the event "the friend tasted apples" and B be the event "the friend preferred non-organic".
To find the probability that a friend tasted apples and preferred non-organic, first identify the sample space and the event.
The outcomes in the sample space are the different friends. Each friend is equally likely to be selected, so this is a uniform probability model.
The event is A and B, "the friend tasted apples and preferred non-organic".
Since this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.

Find the number of outcomes in the event A and B.
A and B is the event "the friend tasted apples and preferred non-organic", so look at the table to see how many friends tasted apples and preferred non-organic.
The number of friends who tasted apples and preferred non-organic is 5.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of friends.
6 + 3 + 5 + 3 = 17

Find P(A and B).
Since all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.
P(A and B) = \frac{# of outcomes in A and B}{total # of outcomes}
 = \frac{5}{17}
The probability that a friend tasted apples and preferred non-organic is \frac{5}{17}.

Thus, the final answer is {"answer": "5/17"}.


Prompt:
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Solve this problem according to the provided picture in a step-wise manner. In the last of your solution, output the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.
How much more does a book about the Olympics cost than a book about helicopters? (Unit: $)

Subtract the price of a book about helicopters from the price of a book about the Olympics.

$21.21 - $16.67 = $4.54

A book about the Olympics costs $4.54 more than a book about helicopters.

So, the answer is {"answer": "4.54"}.


Prompt:
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Refer to the provided table and work through the question step by step. Format the ultimate answer as a JSON, using the structure {"answer": "<YOUR ANSWER>"}.
Table title: Emails Tanvi received
Problem: Tanvi kept a tally of the number of emails she received each day for a week. According to the table, what was the rate of change between Tuesday and Wednesday? (Unit: emails per day)

Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{6 emails - 1 email}{1 day}
 = \frac{5 emails}{1 day}
 = 5 emails per day
The rate of change between Tuesday and Wednesday was 5 emails per day.

Therefore, the final answer is {"answer": "5"}.


Prompt:
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Refer to the provided table and work through the question step by step. Present the final answer in a JSON format, outlined as {"answer": "<YOUR ANSWER>"}.
Table title: Time Steven spent on homework
Problem: Steven kept track of how long it took to finish his homework each day. According to the table, what was the rate of change between Wednesday and Thursday? (Unit: minutes per day)

Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{29 minutes - 31 minutes}{1 day}
 = \frac{-2 minutes}{1 day}
 = -2 minutes per day
The rate of change between Wednesday and Thursday was - 2 minutes per day.

So, the answer is {"answer": "-2"}.


Prompt:
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With the table titled 'Hours worked' in mind, please break down and resolve the question below step by step. Format the ultimate answer as a JSON, using the structure {"answer": "<YOUR ANSWER>"}.

A waitress kept track of how many hours she worked each day. What is the mean of the numbers?

Read the numbers from the table.

10, 10, 6, 6, 8

First, count how many numbers are in the group.

There are 5 numbers.

Now add all the numbers together:

10 + 10 + 6 + 6 + 8 = 40

Now divide the sum by the number of numbers:

40 ÷ 5 = 8

The mean is 8.

So, the answer is {"answer": "8"}.


Prompt:
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Based on the table, solve the following math problem step by step. Provide a concluding answer in a JSON structure, using the format {"answer": "<YOUR ANSWER>"}.
Krysta has $5,311.00. Does she have enough to buy a boa constrictor and an alpaca? (A) yes (B) no

Add the price of a boa constrictor and the price of an alpaca:

$1,483.00 + $3,992.00 = $5,475.00

$5,475.00 is more than $5,311.00. Krysta does not have enough money.

Thus, the final answer is {"answer": "no"}.


Prompt:
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Please solve the problem based on the given table about 'Quiz scores'. Format the ultimate answer as a JSON, using the structure {"answer": "<YOUR ANSWER>"}.

Problem: Ms. Henderson reported her students' scores on the most recent quiz. How many students scored fewer than 80 points? (Unit: students)

Your Solution:

Count all the leaves in the rows with stems 2, 3, 4, 5, 6, and 7.

You counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 students scored fewer than 80 points.

Therefore, the final answer is {"answer": "7"}.


Prompt:
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Using the displayed table concerning the 'Pretzels sold', solve the subsequent math problem in a stepwise manner. Format the ultimate answer as a JSON, using the structure {"answer": "<YOUR ANSWER>"}.

A pretzel stand owner kept track of the number of pretzels sold during the past 4 days. On which day did the stand sell the fewest pretzels? (A) Thursday (B) Friday (C) Saturday (D) Sunday

Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 447.

Now find the corresponding day. Thursday corresponds to 447.

Therefore, the final answer is {"answer": "Thursday"}.


Prompt:
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Based on this table about 'Actors per movie', answer the following question in a stepwise manner. Conclude your response with the final answer in the JSON format, structured as {"answer": "<YOUR ANSWER>"}.
The movie critic liked to count the number of actors in each movie he saw. How many movies had at least 40 actors? (Unit: movies)

Count all the leaves in the rows with stems 4, 5, 6, 7, 8, and 9.

You counted 14 leaves, which are blue in the stem-and-leaf plot above. 14 movies had at least 40 actors.

So, the answer is {"answer": "14"}.


Prompt:
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Based on this table of 'Quiz show scores', answer the following question. Give detailed solution consisting of each step. The concluding answer should be in the JSON structure, formatted as {"answer": "<YOUR ANSWER>"}.
For a math assignment, Cora researched the scores of the people competing on her favorite quiz show. How many people scored exactly 35 points? (Unit: people)

For the number 35, the stem is 3, and the leaf is 5. Find the row where the stem is 3. In that row, count all the leaves equal to 5.

You counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 people scored exactly 35 points.

So, the answer is {"answer": "4"}.


Prompt:
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Based on the table, solve the following math problem step by step. Conclude your response with a final answer in the JSON format {"answer": "<YOUR ANSWER>"}.
How much money does Greta need to buy blueberry pancakes and a ham and cheese omelette? (Unit: $)

Add the price of blueberry pancakes and the price of a ham and cheese omelette:

$9.00 + $2.00 = $11.00

Greta needs $11.00.

So, the answer is {"answer": "11"}.


Prompt:
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View the table, then figure out the solution to this math problem. Conclude your response with a final answer in the JSON format {"answer": "<YOUR ANSWER>"}.
Problem: Carly went to the store. She bought 1.5 pounds of heart-shaped beads. How much did she spend? (Unit: $)
Your solution:

Find the cost of the heart-shaped beads. Multiply the price per pound by the number of pounds.
$8 × 1.5 = $12
She spent $12.

Thus, the final answer is {"answer": "12"}.


Prompt:
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According to the table titled 'Springtown School District sports budget', solve this problem and give detail solutions. In the end, output your final answer using the JSON format: {"answer": "<YOUR ANSWER>"}.

Each year the Springtown School District publishes its annual budget, which includes information on the sports program's per-student spending. According to the table, what was the rate of change between 2017 and 2018? (Unit: $, per year)

Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{$36 - $31}{2018 - 2017}
 = \frac{$36 - $31}{1 year}
 = \frac{$5}{1 year}
 = $5 per year
The rate of change between 2017 and 2018 was $5 per year.

Therefore, the final answer is {"answer": "5"}.


Prompt:
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Consider the table regarding to 'Pretzels sold' to sequentially solve the problem presented below. Output the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.

A pretzel stand owner kept track of the number of pretzels sold during the past 3 days. How many more pretzels did the stand sell on Tuesday than on Monday? (Unit: pretzels)

Find the numbers in the table.

Tuesday: 371
Monday: 119

Now subtract: 371 - 119 = 252.

The stand sold 252 more pretzels on Tuesday.

Thus, the final answer is {"answer": "252"}.


Prompt:
<image>
Solve this problem according to the provided picture in a step-wise manner. At the end of your output, present the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.
Look at the table. Then answer the question. At a price of $640, is there a shortage or a surplus? (A) shortage (B) surplus

At the price of $640, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.

So, the answer is {"answer": "surplus"}.


Prompt:
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Using the displayed table concerning the 'Athletes per country', solve the subsequent math problem in a stepwise manner. Present the final answer in a JSON format, outlined as {"answer": "<YOUR ANSWER>"}.

While doing a project for P. E. class, Kendra researched the number of athletes competing in an international sporting event. How many countries have exactly 64 athletes?

For the number 64, the stem is 6, and the leaf is 4. Find the row where the stem is 6. In that row, count all the leaves equal to 4.

You counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 countries have exactly 64 athletes.

So, the answer is {"answer": "3"}.


Prompt:
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With the table image in mind, formulate a detail solution for the math problem. Show specific steps towards the answer. The final result should be presented in the JSON format of {"answer": "<YOUR ANSWER>"}.

Each shelf has 2 history books. How many history books are on 6 shelves?

Count by twos. Use the chart: there are 12 history books on 6 shelves.

Thus, the final answer is {"answer": "12"}.


Prompt:
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Math word problem: The table shows a function. Is the function linear or nonlinear? (A) linear (B) nonlinear

Show your detailed solution with the final answer in the JSON format {'answer': '<YOUR ANSWER>'}.

To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.
Pick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.
Call the values in the first row x1 and y1. Call the values in the second row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{10 - 14}{7 - 6}
 = \frac{-4}{1}
 = -4
Now pick any other two rows and calculate the rate of change between them.
Call the values in the first row x1 and y1. Call the values in the third row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{0 - 14}{8 - 6}
 = \frac{-14}{2}
 = -7
The rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.
The function is nonlinear.

Thus, the final answer is {"answer": "nonlinear"}.


Prompt:
<image>
Table title: Bus schedule
Question: Look at the following schedule. Which stop does the bus depart from at 1.15 P.M.? (A) science museum (B) school (C) kickball field (D) library
Give a detailed response to the above question. Format the ultimate answer as a JSON, using the structure {"answer": "<YOUR ANSWER>"}.

Find 1:15 P. M. on the schedule. The bus departs from the library at 1:15 P. M.

Therefore, the final answer is {"answer": "library"}.


Prompt:
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Look at the table and break down the following math word problem, step by step. In the end, output your final answer using the JSON format: {"answer": "<YOUR ANSWER>"}.
Each bunch has 5 balloons. How many balloons are in 4 bunches? (Unit: balloons)

Count by fives. Use the chart: there are 20 balloons in 4 bunches.

Thus, the final answer is {"answer": "20"}.


Prompt:
<image>
Problem:
How much money does Abigail need to buy a piece of floral stationery and a sheet of shiny silver paper? (Unit: $)

Answer the above problem related to the table. The final result should be presented in the JSON format of {"answer": "<YOUR ANSWER>"}.
Solution:

Add the price of a piece of floral stationery and the price of a sheet of shiny silver paper:

$0.55 + $0.19 = $0.74

Abigail needs $0.74.

Therefore, the final answer is {"answer": "0.74"}.


Prompt:
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Based on this table of 'Employees with health care benefits', answer the following question. Give detailed solution consisting of each step. The final result should be presented in the JSON format of {"answer": "<YOUR ANSWER>"}.
At Lakewood Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. According to the table, what was the rate of change between 2007 and 2008? (Unit: employees per year)

Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{41 employees - 18 employees}{2008 - 2007}
 = \frac{41 employees - 18 employees}{1 year}
 = \frac{23 employees}{1 year}
 = 23 employees per year
The rate of change between 2007 and 2008 was 23 employees per year.

Therefore, the final answer is {"answer": "23"}.


Prompt:
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Question: How much money does Kiara need to buy a whole sand dollar, an oyster shell, and a shiny gold shell? (Unit: $)
Solve the above question based on the table. The final result should be presented in the JSON format of {"answer": "<YOUR ANSWER>"}.

Find the total cost of a whole sand dollar, an oyster shell, and a shiny gold shell.

$0.66 + $0.65 + $0.12 = $1.43

Kiara needs $1.43.

So, the answer is {"answer": "1.43"}.


Prompt:
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Please solve the problem based on the given table about 'Running miles'. Present the final answer in a JSON format, outlined as {"answer": "<YOUR ANSWER>"}.

Problem: The members of the track team compared how many miles they ran last week. What is the mean of the numbers?

Your Solution:

Read the numbers from the table.

7, 6, 7, 9, 5, 4, 2, 8

First, count how many numbers are in the group.

There are 8 numbers.

Now add all the numbers together:

7 + 6 + 7 + 9 + 5 + 4 + 2 + 8 = 48

Now divide the sum by the number of numbers:

48 ÷ 8 = 6

The mean is 6.

So, the answer is {"answer": "6"}.


Prompt:
<image>
Solve this math problem in a stepwise manner. Conclude your response with the final answer in the JSON format, structured as {"answer": "<YOUR ANSWER>"}.

Look at this table. Is this relation a function? (A) yes (B) no

Look at the x-values in the table.

The x-value 6 is paired with multiple y-values, so the relation is not a function.

So, the answer is {"answer": "no"}.


Prompt:
<image>
Solve the problem according to the provided table image. Please provide detailed solution. Provide a concluding answer in a JSON structure, using the format {"answer": "<YOUR ANSWER>"}.
Table title: Eating bananas last week
Problem: A chef kept track of the number of bananas people ate last week in her cafeteria. How many people ate at least 2 bananas last week?

Find the rows for 2, 3, and 4 bananas last week. Add the frequencies for these rows.

Add:

10 + 6 + 11 = 27

27 people ate at least 2 bananas last week.

So, the answer is {"answer": "27"}.


Prompt:
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Examine the table of 'Tractors made' and proceed to solve the following math word problem in a stepwise manner. Format the ultimate answer as a JSON, using the structure {"answer": "<YOUR ANSWER>"}.
A farm equipment company kept a record of the number of tractors made each month. What is the range of the numbers?

Read the numbers from the table.

9, 9, 9, 10, 10

First, find the greatest number. The greatest number is 10.

Next, find the least number. The least number is 9.

Subtract the least number from the greatest number:

10 − 9 = 1

The range is 1.

So, the answer is {"answer": "1"}.


Prompt:
<image>
Show the detailed solution to answer the following question. Provide a concluding answer in a JSON structure, using the format {"answer": "<YOUR ANSWER>"}.
Question: Ben wants to buy 1 kilogram of Chinese lettuce. How much will he spend? (Unit: $)

Find the cost of the Chinese lettuce. Multiply the price per kilogram by the number of kilograms.

$1.38 × 1 = $1.38

He will spend $1.38.

Thus, the final answer is {"answer": "1.38"}.


Prompt:
<image>
View the table, then figure out the solution to this math problem. The concluding answer should be in the JSON structure, formatted as {"answer": "<YOUR ANSWER>"}.
Problem: The table shows a function. Is the function linear or nonlinear? (A) linear (B) nonlinear
Your solution:

To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.
Pick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.
Call the values in the first row x1 and y1. Call the values in the second row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{8 - 13}{16 - 15}
 = \frac{-5}{1}
 = -5
Now pick any other two rows and calculate the rate of change between them.
Call the values in the first row x1 and y1. Call the values in the third row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{3 - 13}{17 - 15}
 = \frac{-10}{2}
 = -5
The two rates of change are the same.
5.
This means the rate of change is the same for each pair of points. So, the function has a constant rate of change.
The function is linear.

Thus, the final answer is {"answer": "linear"}.


Prompt:
<image>
Show the detailed solution to answer the following question. The concluding answer should be in the JSON structure, formatted as {"answer": "<YOUR ANSWER>"}.
Question: If Ruben buys 3.1 kilograms of feta, how much will he spend? (Unit: $)

Find the cost of the feta. Multiply the price per kilogram by the number of kilograms.
$2 × 3.1 = $6.20
He will spend $6.20.

Thus, the final answer is {"answer": "6.20"}.


Prompt:
<image>
Given the table about 'County fair schedule', solve the following math problem step by step. Finally, your final answer should be in the JSON format of {"answer": "<YOUR ANSWER>"}.
Look at the following schedule. Which activity begins at 7.45 P.M.? (A) rodeo competition (B) cooking demonstration (C) livestock exhibition (D) dog show

Find 7:45 P. M. on the schedule. The dog show begins at 7:45 P. M.

Therefore, the final answer is {"answer": "dog show"}.


Prompt:
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According to the table, solve this problem and give detail solutions. Provide a concluding answer in a JSON structure, using the format {"answer": "<YOUR ANSWER>"}.

Look at the table. Then answer the question. At a price of $1,155, is there a shortage or a surplus? (A) shortage (B) surplus

At the price of $1,155, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.

So, the answer is {"answer": "shortage"}.


Prompt:
<image>
Check out the table image. Provide a detail solution to this problem. At the end of your output, present the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.

Problem: How much money does Ken need to buy a flag stamp and a tulip stamp? (Unit: $)

Solution:

Add the price of a flag stamp and the price of a tulip stamp:

$0.08 + $0.02 = $0.10

Ken needs $0.10.

So, the answer is {"answer": "0.10"}.


Prompt:
<image>
Using the table of 'Broken cookies per pack', unfold the math word problem presented below, detailing every step of your calculation. Format the ultimate answer as a JSON, using the structure {"answer": "<YOUR ANSWER>"}.
A cookie factory monitored the number of broken cookies per pack yesterday. What is the smallest number of broken cookies? (Unit: broken cookies)

Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 3.

Now find the lowest leaf in the first row. The lowest leaf is 1.

The smallest number of broken cookies has a stem of 3 and a leaf of 1. Write the stem first, then the leaf: 31.

The smallest number of broken cookies is 31 broken cookies.

So, the answer is {"answer": "31"}.


Prompt:
<image>
Refer to the provided table and work through the question step by step. Conclude your response with a final answer in the JSON format {"answer": "<YOUR ANSWER>"}.
Table title: Population per square mile
Problem: While looking through an almanac at the library, Eddie noticed some data showing the population density of various states. In 2000, how many more people per square mile lived in Nevada than in New Mexico? (Unit: people per square mile)

Find the 2000 column. Find the numbers in this column for Nevada and New Mexico.

Nevada: 18
New Mexico: 15

Now subtract:

18 − 15 = 3

In 2000, 3 more people per square mile lived in Nevada than in New Mexico.

Thus, the final answer is {"answer": "3"}.


Prompt:
<image>
Please solve the problem based on the given image. At the end of your output, present the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.
Problem: Each table has 10 notepads. How many notepads are on 6 tables?
Your Solution:

Count by tens. Use the chart: there are 60 notepads on 6 tables.

Thus, the final answer is {"answer": "60"}.


Prompt:
<image>
Show the detailed solution to answer the following question. The final result should be presented in the JSON format of {"answer": "<YOUR ANSWER>"}.
Question: How much would it cost to buy 1 kilogram of hummus? (Unit: $)

Find the cost of the hummus. Multiply the price per kilogram by the number of kilograms.

$1.43 × 1 = $1.43

It would cost $1.43.

Therefore, the final answer is {"answer": "1.43"}.


Prompt:
<image>
Consider the table regarding to 'Making candy necklaces' to sequentially solve the problem presented below. The final result should be presented in the JSON format of {"answer": "<YOUR ANSWER>"}.

While working as a summer camp counselor, Cole monitored how many candy necklaces each child made. How many children did not make any candy necklaces?

Find the row for 0 candy necklaces and read the frequency. The frequency is 1.

1 child did not make any candy necklaces.

So, the answer is {"answer": "1"}.


Prompt:
<image>
Solve this math problem in a stepwise manner. In the last of your solution, output the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.

How much money does Clayton need to buy 2 scrapbooks? (Unit: $)

Find the total cost of 2 scrapbooks by multiplying 2 times the price of a scrapbook.

$15.00 × 2 = $30.00

Clayton needs $30.00.

So, the answer is {"answer": "30"}.


Prompt:
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Give you a table. Please solve the math problem below, showing each step. Finally, your final answer should be in the JSON format of {"answer": "<YOUR ANSWER>"}.

To get to know her students better, Ms. Lam surveyed her math students to determine what hobbies and school subjects they prefer. What is the probability that a randomly selected student prefers math and enjoys poetry? Simplify any fractions.

Let A be the event "the student prefers math" and B be the event "the student enjoys poetry".
To find the probability that a student prefers math and enjoys poetry, first identify the sample space and the event.
The outcomes in the sample space are the different students. Each student is equally likely to be selected, so this is a uniform probability model.
The event is A and B, "the student prefers math and enjoys poetry".
Since this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.

Find the number of outcomes in the event A and B.
A and B is the event "the student prefers math and enjoys poetry", so look at the table to see how many students prefer math and enjoy poetry.
The number of students who prefer math and enjoy poetry is 6.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of students.
6 + 3 + 2 + 6 = 17

Find P(A and B).
Since all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.
P(A and B) = \frac{# of outcomes in A and B}{total # of outcomes}
 = \frac{6}{17}
The probability that a student prefers math and enjoys poetry is \frac{6}{17}.

Therefore, the final answer is {"answer": "6/17"}.


Prompt:
<image>
Based on this table about 'Doing cartwheels', answer the following question in a stepwise manner. Provide a concluding answer in a JSON structure, using the format {"answer": "<YOUR ANSWER>"}.
A gymnast jotted down the number of cartwheels she did each day. What is the median of the numbers?

Read the numbers from the table.

7, 10, 10, 8, 9

First, arrange the numbers from least to greatest:

7, 8, 9, 10, 10

Now find the number in the middle.

7, 8, 9, 10, 10

The number in the middle is 9.

The median is 9.

So, the answer is {"answer": "9"}.


Prompt:
<image>
Solve this math word problem based on the given table image. Format the ultimate answer as a JSON, using the structure {"answer": "<YOUR ANSWER>"}.
How much money does Ruben need to buy a white polo shirt and a white T-shirt? (Unit: $)

Add the price of a white polo shirt and the price of a white T-shirt:

$9.00 + $5.00 = $14.00

Ruben needs $14.00.

Therefore, the final answer is {"answer": "14"}.


Prompt:
<image>
The table shows a function. Is the function linear or nonlinear? (A) linear (B) nonlinear

Solve the above problem using the table information. Output the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.

To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.
Pick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.
Call the values in the first row x1 and y1. Call the values in the second row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{10 - 1}{13 - 12}
 = \frac{9}{1}
 = 9
Now pick any other two rows and calculate the rate of change between them.
Call the values in the first row x1 and y1. Call the values in the third row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{19 - 1}{14 - 12}
 = \frac{18}{2}
 = 9
The two rates of change are the same.
If you checked the rate of change between rows 2 and 3, you would find that it is also 9.
This means the rate of change is the same for each pair of points. So, the function has a constant rate of change.
The function is linear.

Thus, the final answer is {"answer": "linear"}.


Prompt:
<image>
Look at the table titled 'Donor levels' and methodically tackle the math problem that follows. Conclude your response with the final answer in the JSON format, structured as {"answer": "<YOUR ANSWER>"}.
The Booneville Symphony categorizes its donors as gold, silver, or bronze depending on the amount donated. What fraction of donors are at the bronze level? Simplify your answer.

Find how many donors are at the bronze level.

96

Find how many donors there are in total.

78 + 96 + 49 = 213

Divide 96 by213.

\frac{96}{213}

\frac{96}{213} of donors are at the bronze level.

So, the answer is {"answer": "96/213"}.


Prompt:
<image>
Solve the problem according to the provided table image. Please provide detailed solution. At the end of your output, present the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.
Table title: Grocery stores in each town
Problem: A newspaper researched how many grocery stores there are in each town. What is the range of the numbers?

Read the numbers from the table.

4, 6, 6, 9, 6

First, find the greatest number. The greatest number is 9.

Next, find the least number. The least number is 4.

Subtract the least number from the greatest number:

9 − 4 = 5

The range is 5.

So, the answer is {"answer": "5"}.


Prompt:
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Given the table about 'Foreign language books', solve the following math problem step by step. In the last of your solution, output the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.
The Belmont Public Library serves a diverse community and has a foreign language section catering to non-English speakers. What fraction of foreign language books are in Vietnamese? Simplify your answer.

Find how many foreign language books are in Vietnamese.

820

Find how many foreign language books the library has in total.

630 + 820 + 410 + 910 = 2,870

Divide 820 by2,870.

\frac{820}{2,870}

Reduce the fraction.

\frac{820}{2,870} → \frac{82}{287}

\frac{82}{287} of foreign language books are in Vietnamese.

Thus, the final answer is {"answer": "82/287"}.


Prompt:
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Based on the table, solve the following math problem step by step. Conclude your response with the final answer in the JSON format, structured as {"answer": "<YOUR ANSWER>"}.
How much money does Leslie need to buy a piece of smoky quartz and a piece of black obsidian? (Unit: $)

Add the price of a piece of smoky quartz and the price of a piece of black obsidian:

$0.05 + $0.01 = $0.06

Leslie needs $0.06.

So, the answer is {"answer": "0.06"}.


Prompt:
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Table title: Science museum schedule
Question: Look at the following schedule. When does the weather demonstration end? (A) 2:50 P.M. (B) 12:20 P.M. (C) 10:05 A.M. (D) 9:20 A.M.
Give a detailed response to the above question. Finally, your final answer should be in the JSON format of {"answer": "<YOUR ANSWER>"}.

Find the weather demonstration on the schedule. Find the end time for the weather demonstration.

weather demonstration: 10:05 A. M.

Therefore, the final answer is {"answer": "10:05 A.M."}.


Prompt:
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With the table image in mind, formulate a detail solution for the math problem. Show specific steps towards the answer. At the end of your output, present the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.

Gordon has $0.03. Does he have enough to buy a piece of striped paper and a sheet of green paper? (A) yes (B) no

Add the price of a piece of striped paper and the price of a sheet of green paper:

$0.02 + $0.02 = $0.04

$0.04 is more than $0.03. Gordon does not have enough money.

Therefore, the final answer is {"answer": "no"}.


Prompt:
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Problem:
An actor was informed how many fan letters he received each day. What is the mean of the numbers?
Solve the above problem based on the table titled 'Fan letters received'. At the end of your output, present the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.

Read the numbers from the table.

7, 9, 3, 4, 6, 7

First, count how many numbers are in the group.

There are 6 numbers.

Now add all the numbers together:

7 + 9 + 3 + 4 + 6 + 7 = 36

Now divide the sum by the number of numbers:

36 ÷ 6 = 6

The mean is 6.

So, the answer is {"answer": "6"}.


Prompt:
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Based on this table about 'Pictures taken', solve the following problem. At the end of your output, present the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.
The newspaper photographer logged how many pictures she had taken during the past 4 days. On which day did the photographer take the fewest pictures? (A) Saturday (B) Sunday (C) Monday (D) Tuesday

Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 913.

Now find the corresponding day. Sunday corresponds to 913.

So, the answer is {"answer": "Sunday"}.


Prompt:
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Deb wants to buy 3.2 pounds of Manila scrap. How much will she spend? (Unit: $)

Solve the above problem using the table information. Format the ultimate answer as a JSON, using the structure {"answer": "<YOUR ANSWER>"}.

Find the cost of the Manila scrap. Multiply the price per pound by the number of pounds.
$2 × 3.2 = $6.40
She will spend $6.40.

So, the answer is {"answer": "6.40"}.


Prompt:
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Based on this table of 'Average food preparation time', answer the following question. Give detailed solution consisting of each step. The final result should be presented in the JSON format of {"answer": "<YOUR ANSWER>"}.
A restaurant's average food preparation time was tracked from day to day as part of an efficiency improvement program. According to the table, what was the rate of change between Wednesday and Thursday? (Unit: minutes per day)

Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{39 minutes - 45 minutes}{1 day}
 = \frac{-6 minutes}{1 day}
 = -6 minutes per day
The rate of change between Wednesday and Thursday was - 6 minutes per day.

Therefore, the final answer is {"answer": "-6"}.


Prompt:
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Problem:
In considering whether to open a new branch, the city council examined the number of times some typical residents went to the library last month. How many people went to the library at least 4 times last month?
Solve the above problem based on the table titled 'Going to the library last month'. Conclude your response with a final answer in the JSON format {"answer": "<YOUR ANSWER>"}.

Find the rows for 4, 5, and 6 times last month. Add the frequencies for these rows.

Add:

18 + 13 + 19 = 50

50 people went to the library at least 4 times last month.

Thus, the final answer is {"answer": "50"}.


Prompt:
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Math word problem: The houses in Kinsley's town get their water from a local reservoir. Kinsley and a group of engineers monitor the water level for safety and health reasons. The change in water level over two months is shown in the table. During which month did the water level change more? (A) April (B) May

Show your detailed solution with the final answer in the JSON format {'answer': '<YOUR ANSWER>'}.

A positive change means the water level went up. A negative change means the water level went down.
To find the month the water level changed more, use absolute value. Absolute value tells you how much the water level changed each month.
April: |-6| = 6
May: |4| = 4
The water level went down 6 inches in April, and it only went up 4 inches in May. The water level changed more in April.

Therefore, the final answer is {"answer": "April"}.


Prompt:
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Problem:
Carmen, an aspiring meteorologist, spent the past few weekends studying the clouds. She took detailed notes on the types of clouds observed and the time of day they were observed. What is the probability that a randomly selected cloud was marked as stratocumulus and was observed in the morning? Simplify any fractions.

Answer the above problem related to the table. Output the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.
Solution:

Let A be the event "the cloud was marked as stratocumulus" and B be the event "the cloud was observed in the morning".
To find the probability that a cloud was marked as stratocumulus and was observed in the morning, first identify the sample space and the event.
The outcomes in the sample space are the different clouds. Each cloud is equally likely to be selected, so this is a uniform probability model.
The event is A and B, "the cloud was marked as stratocumulus and was observed in the morning".
Since this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.

Find the number of outcomes in the event A and B.
A and B is the event "the cloud was marked as stratocumulus and was observed in the morning", so look at the table to see how many clouds were marked as stratocumulus and were observed in the morning.
The number of clouds that were marked as stratocumulus and were observed in the morning is 2.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of clouds.
2 + 3 + 4 + 3 = 12

Find P(A and B).
Since all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.
P(A and B) = \frac{# of outcomes in A and B}{total # of outcomes}
 = \frac{2}{12}
 = \frac{1}{6}
The probability that a cloud was marked as stratocumulus and was observed in the morning is \frac{1}{6}.

Thus, the final answer is {"answer": "1/6"}.


Prompt:
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Show the detailed solution to answer the following question. In the last of your solution, output the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.
Question: Mariana purchased 3/10 of a kilogram of size 1 screws. What was the total cost? (Unit: $)

Find the cost of the size 1 screws. Multiply the price per kilogram by the number of kilograms.
$3 × \frac{3}{10} = $3 × 0.3 = $0.90
The total cost was $0.90.

Thus, the final answer is {"answer": "0.90"}.


Prompt:
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Table title: Ages of cousins
Question: A girl compared the ages of her cousins. Which cousin is the youngest? (A) Nolan (B) Wayne (C) Tessa (D) Eva
Solve the above question. Conclude your response with a final answer in the JSON format {"answer": "<YOUR ANSWER>"}.
Your detailed solution:

Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 13.

Now find the corresponding name. Wayne corresponds to 13.

Therefore, the final answer is {"answer": "Wayne"}.


Prompt:
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Math word problem: Each roof has 10 seagulls. How many seagulls are on 3 roofs? (Unit: seagulls)

Show your detailed solution with the final answer in the JSON format {'answer': '<YOUR ANSWER>'}.

Count by tens. Use the chart: there are 30 seagulls on 3 roofs.

Thus, the final answer is {"answer": "30"}.


Prompt:
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Check out the table image. Provide a detail solution to this problem. The final result should be presented in the JSON format of {"answer": "<YOUR ANSWER>"}.

Problem: How much more does a cucumber cost than a red pepper? (Unit: $)

Solution:

Subtract the price of a red pepper from the price of a cucumber.

$1.50 - $1.45 = $0.05

A cucumber costs $0.05 more than a red pepper.

Therefore, the final answer is {"answer": "0.05"}.


Prompt:
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Using the table of 'Science articles read', unfold the math word problem presented below, detailing every step of your calculation. The concluding answer should be in the JSON structure, formatted as {"answer": "<YOUR ANSWER>"}.
Brad's classmates revealed how many science articles they read. What is the range of the numbers?

Read the numbers from the table.

7, 9, 10, 4, 2, 10, 9, 3

First, find the greatest number. The greatest number is 10.

Next, find the least number. The least number is 2.

Subtract the least number from the greatest number:

10 − 2 = 8

The range is 8.

Therefore, the final answer is {"answer": "8"}.


Prompt:
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Solve this math word problem based on the given table image. Present the final answer in a JSON format, outlined as {"answer": "<YOUR ANSWER>"}.
How much money does Alvin need to buy a small stuffed otter, a palm tree magnet, and a souvenir spoon? (Unit: $)

Find the total cost of a small stuffed otter, a palm tree magnet, and a souvenir spoon.

$0.47 + $0.99 + $0.23 = $1.69

Alvin needs $1.69.

So, the answer is {"answer": "1.69"}.


Prompt:
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Based on the table, solve the math word problem. Give a solution step by step. Present the final answer in a JSON format, outlined as {"answer": "<YOUR ANSWER>"}.
Problem: How much money does Quinn need to buy a package of oatmeal cookies and 4 bags of walnuts? (Unit: $)
Solution:

Find the cost of 4 bags of walnuts.

$2.81 × 4 = $11.24

Now find the total cost.

$4.63 + $11.24 = $15.87

Quinn needs $15.87.

So, the answer is {"answer": "15.87"}.


Prompt:
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Show the detailed solution to solve the following problem. Conclude your response with the final answer in the JSON format, structured as {"answer": "<YOUR ANSWER>"}. The problem is related to the given table titled 'Favorite subjects'.

Problem: An editor of the school yearbook asked some fourth and fifth graders what their favorite subjects were. How many more students voted for science than history? (Unit: students)

Add the numbers in the Science row. Then, add the numbers in the History row.

science: 12 + 14 = 26
history: 19 + 1 = 20

Now subtract:

26 − 20 = 6

6 more students voted for science than history.

Thus, the final answer is {"answer": "6"}.


Prompt:
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Solve this math problem in a stepwise manner. Finally, your final answer should be in the JSON format of {"answer": "<YOUR ANSWER>"}.

Sharon buys 4/5 of a pound of scallops. How much does she spend? (Unit: $)

Find the cost of the scallops. Multiply the price per pound by the number of pounds.
$9 × \frac{4}{5} = $9 × 0.8 = $7.20
She spends $7.20.

Therefore, the final answer is {"answer": "7.20"}.


Prompt:
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Look at the table titled 'Ice skating last winter' and methodically tackle the math problem that follows. At the end of your output, present the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.
The Hall Skating Rink counted the number of times people went ice skating last winter to see what types of discount passes it should offer this season. How many people went ice skating exactly 5 times last winter?

Find the row for 5 times and read the frequency. The frequency is 2.

2 people went ice skating exactly 5 times last winter.

So, the answer is {"answer": "2"}.


Prompt:
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Table title: Beads per necklace
Question: Bella counted all the beads in each necklace at the jewelry store where she works. What is the largest number of beads? (Unit: beads)
Solve the above question. In the end, output your final answer using the JSON format: {"answer": "<YOUR ANSWER>"}.
Your detailed solution:

Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.

Now find the highest leaf in the last row. The highest leaf is 0.

The largest number of beads has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.

The largest number of beads is 90 beads.

So, the answer is {"answer": "90"}.


Prompt:
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Solve the math problem below using the information from the table. Detail each step. Finally, your final answer should be in the JSON format of {"answer": "<YOUR ANSWER>"}.

If Luther buys 1 pound of raspberry yogurt and 1 pound of low-fat yogurt, how much will he spend? (Unit: $)

Find the cost of the raspberry yogurt. Multiply:

$3.20 × 1 = $3.20

Find the cost of the low-fat yogurt. Multiply:

$3.39 × 1 = $3.39

Now find the total cost by adding:

$3.20 + $3.39 = $6.59

He will spend $6.59.

Thus, the final answer is {"answer": "6.59"}.


Prompt:
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Using the table of 'Pages written', unfold the math word problem presented below, detailing every step of your calculation. In the last of your solution, output the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.
An author kept a log of how many pages he wrote in the past 7 days. What is the median of the numbers?

Read the numbers from the table.

1, 9, 1, 1, 6, 7, 5

First, arrange the numbers from least to greatest:

1, 1, 1, 5, 6, 7, 9

Now find the number in the middle.

1, 1, 1, 5, 6, 7, 9

The number in the middle is 5.

The median is 5.

Thus, the final answer is {"answer": "5"}.


Prompt:
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Problem:
While doing a project for P. E. class, Mariana researched the number of athletes competing in an international sporting event. How many countries have fewer than 40 athletes? (Unit: countries)
Solve the above problem based on the table titled 'Athletes per country'. At the end of your output, present the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.

Count all the leaves in the rows with stems 0, 1, 2, and 3.

You counted 12 leaves, which are blue in the stem-and-leaf plot above. 12 countries have fewer than 40 athletes.

So, the answer is {"answer": "12"}.


Prompt:
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Given the table about 'Mitch's May budget', solve the following math problem step by step. Conclude your response with the final answer in the JSON format, structured as {"answer": "<YOUR ANSWER>"}.
This table shows Mitch's May budget. What could Mitch do to balance his budget? (A) decrease amount of gas money to $30 (B) increase spending on gifts for Mom and Nana by $10 (C) return bottles to earn an extra $5 (D) put $25 less in his savings account

First, find how much money Mitch needs to balance his budget. Add up the income and expenses.
$20 + $35 + $105 = $160
Mitch needs $160 to balance his budget.
Now find how much money Mitch has left over after making the changes he wants to make. Subtract.
$160 - $30 = $130
Mitch has $130 left over to spend on his budget.

So, the answer is {"answer": "put $25 less in his savings account"}.


Prompt:
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With the shown table image as your reference, carefully work out a detailed solution to the following question. Present the final answer in a JSON format, outlined as {"answer": "<YOUR ANSWER>"}.
Table title: Boxes of Girl Scout cookies sold
Question: A Girl Scout troop recorded how many boxes of cookies they sold each day for a week. According to the table, what was the rate of change between Wednesday and Thursday? (Unit: boxes per day)

Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{34 boxes - 38 boxes}{1 day}
 = \frac{-4 boxes}{1 day}
 = -4 boxes per day
The rate of change between Wednesday and Thursday was - 4 boxes per day.

So, the answer is {"answer": "-4"}.


Prompt:
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Take a look at this table about 'Pies baked', and tackle the math word problem below in a sequential manner. Present the final answer in a JSON format, outlined as {"answer": "<YOUR ANSWER>"}.
A baker wrote down how many pies she made in the past 5 days. What is the mean of the numbers?

Read the numbers from the table.

7, 1, 8, 7, 2

First, count how many numbers are in the group.

There are 5 numbers.

Now add all the numbers together:

7 + 1 + 8 + 7 + 2 = 25

Now divide the sum by the number of numbers:

25 ÷ 5 = 5

The mean is 5.

So, the answer is {"answer": "5"}.


Prompt:
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Consider the table regarding to 'Games won by Maura's soccer team' to sequentially solve the problem presented below. The final result should be presented in the JSON format of {"answer": "<YOUR ANSWER>"}.

Maura kept track of the number of games her soccer team won each year. According to the table, what was the rate of change between 2017 and 2018? (Unit: games per year)

Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{8 games - 50 games}{2018 - 2017}
 = \frac{8 games - 50 games}{1 year}
 = \frac{-42 games}{1 year}
 = -42 games per year
The rate of change between 2017 and 2018 was - 42 games per year.

So, the answer is {"answer": "-42"}.


Prompt:
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Based on the table, solve the math word problem. Give a solution step by step. Output the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.
Problem: Betty has $12,124.00. Does she have enough to buy a designer handbag and a pair of designer shoes? (A) yes (B) no
Solution:

Add the price of a designer handbag and the price of a pair of designer shoes:

$6,415.00 + $6,280.00 = $12,695.00

$12,695.00 is more than $12,124.00. Betty does not have enough money.

So, the answer is {"answer": "no"}.


Prompt:
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Check out the table image. Provide a detail solution to this problem. In the last of your solution, output the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.

Problem: Look at the table. Then answer the question. At a price of $1,000, is there a shortage or a surplus? (A) shortage (B) surplus

Solution:

At the price of $1,000, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.

So, the answer is {"answer": "shortage"}.


Prompt:
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Based on this table about 'Actors per movie', solve the following problem. At the end of your output, present the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.
The movie critic liked to count the number of actors in each movie she saw. What is the largest number of actors? (Unit: actors)

Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.

Now find the highest leaf in the last row. The highest leaf is 0.

The largest number of actors has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.

The largest number of actors is 90 actors.

So, the answer is {"answer": "90"}.


Prompt:
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According to the table titled 'Scarf lengths (centimeters)', solve this problem and give detail solutions. Conclude your response with the final answer in the JSON format, structured as {"answer": "<YOUR ANSWER>"}.

Lindsey measured the length of each scarf in the clothing store where she works. How many scarves are at least 60 centimeters but less than 80 centimeters? (Unit: scarves)

Count all the leaves in the rows with stems 6 and 7.

You counted 10 leaves, which are blue in the stem-and-leaf plot above. 10 scarves are at least 60 centimeters but less than 80 centimeters.

So, the answer is {"answer": "10"}.


Prompt:
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Given the table about 'Quiz show scores', solve the following math problem step by step. Output the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.
The players on a quiz show received the following scores. What is the range of the numbers?

Read the numbers from the table.

8, 1, 3, 6, 4, 6, 7, 2

First, find the greatest number. The greatest number is 8.

Next, find the least number. The least number is 1.

Subtract the least number from the greatest number:

8 − 1 = 7

The range is 7.

So, the answer is {"answer": "7"}.


Prompt:
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With the table image in mind, formulate a detail solution for the math problem. Show specific steps towards the answer. Provide a concluding answer in a JSON structure, using the format {"answer": "<YOUR ANSWER>"}.

Polly went to the store and bought 2 kilograms of white chocolate chips and 5 kilograms of dark chocolate chips. How much did she spend? (Unit: $)

Find the cost of the white chocolate chips. Multiply:

$1.11 × 2 = $2.22

Find the cost of the dark chocolate chips. Multiply:

$1.02 × 5 = $5.10

Now find the total cost by adding:

$2.22 + $5.10 = $7.32

She spent $7.32.

Thus, the final answer is {"answer": "7.32"}.


Prompt:
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Give you a table image, answer this question. Let's think step by step. Conclude your response with a final answer in the JSON format {"answer": "<YOUR ANSWER>"}.
How much money does Savannah need to buy a hot plate and an incubator? (Unit: $)

Add the price of a hot plate and the price of an incubator:

$230 + $904 = $1,134

Savannah needs $1,134.

Thus, the final answer is {"answer": "1,134"}.


Prompt:
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Examine the table of 'Hockey games won by Sullivan High' and proceed to solve the following math word problem in a stepwise manner. Provide a concluding answer in a JSON structure, using the format {"answer": "<YOUR ANSWER>"}.
A pair of Sullivan High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2014 and 2015? (Unit: games per year)

Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{1 game - 7 games}{2015 - 2014}
 = \frac{1 game - 7 games}{1 year}
 = \frac{-6 games}{1 year}
 = -6 games per year
The rate of change between 2014 and 2015 was - 6 games per year.

So, the answer is {"answer": "-6"}.


Prompt:
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Please solve the problem based on the given table about 'Charity donations'. Present the final answer in a JSON format, outlined as {"answer": "<YOUR ANSWER>"}.

Problem: A charity recorded how many donations it received each month. In which month did the charity receive the fewest donations? (A) August (B) September (C) October (D) November

Your Solution:

Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 812.

Now find the corresponding month. November corresponds to 812.

Thus, the final answer is {"answer": "November"}.


Prompt:
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Starting with the provided table, detail your process in solving this problem. At the end of your output, present the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.
The table shows a function. Is the function linear or nonlinear? (A) linear (B) nonlinear

To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.
Pick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.
Call the values in the first row x1 and y1. Call the values in the second row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{14 - 15}{2 - 1}
 = \frac{-1}{1}
 = -1
Now pick any other two rows and calculate the rate of change between them.
Call the values in the first row x1 and y1. Call the values in the third row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{4 - 15}{3 - 1}
 = \frac{-11}{2}
 = -5\frac{1}{2}
The rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.
The function is nonlinear.

So, the answer is {"answer": "nonlinear"}.


Prompt:
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Solve the problem according to the provided table image. Please provide detailed solution. Provide a concluding answer in a JSON structure, using the format {"answer": "<YOUR ANSWER>"}.
Table title: Participants per race
Problem: A volunteer for the local running club counted the number of participants at each race. How many races had at least 30 participants but fewer than 60 participants? (Unit: races)

Count all the leaves in the rows with stems 3, 4, and 5.

You counted 6 leaves, which are blue in the stem-and-leaf plot above. 6 races had at least 30 participants but fewer than 60 participants.

So, the answer is {"answer": "6"}.


Prompt:
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Math word problem: Pete has $117.00. How much money will Pete have left if he buys a blue sweater and a pair of brown pants? (Unit: $)

Show your detailed solution with the final answer in the JSON format {'answer': '<YOUR ANSWER>'}.

Find the total cost of a blue sweater and a pair of brown pants.

$12.00 + $18.00 = $30.00

Now subtract the total cost from the starting amount.

$117.00 - $30.00 = $87.00

Pete will have $87.00 left.

So, the answer is {"answer": "87"}.


Prompt:
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Solve this problem according to the provided picture in a step-wise manner. Conclude your response with a final answer in the JSON format {"answer": "<YOUR ANSWER>"}.
Robert entered his sister into their town's Smelly Shoe Competition. Robert observed contestants of all ages proudly strutting around wearing different kinds of smelly shoes. What is the probability that a randomly selected contestant is wearing high heels and is under age 12? Simplify any fractions.

Let A be the event "the contestant is wearing high heels" and B be the event "the contestant is under age 12".
To find the probability that a contestant is wearing high heels and is under age 12, first identify the sample space and the event.
The outcomes in the sample space are the different contestants. Each contestant is equally likely to be selected, so this is a uniform probability model.
The event is A and B, "the contestant is wearing high heels and is under age 12".
Since this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.

Find the number of outcomes in the event A and B.
A and B is the event "the contestant is wearing high heels and is under age 12", so look at the table to see how many contestants are wearing high heels and are under age 12.
The number of contestants who are wearing high heels and are under age 12 is 3.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of contestants.
4 + 3 + 5 + 7 = 19

Find P(A and B).
Since all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.
P(A and B) = \frac{# of outcomes in A and B}{total # of outcomes}
 = \frac{3}{19}
The probability that a contestant is wearing high heels and is under age 12 is \frac{3}{19}.

Thus, the final answer is {"answer": "3/19"}.


Prompt:
<image>
Solve this math word problem based on the given table image. Present the final answer in a JSON format, outlined as {"answer": "<YOUR ANSWER>"}.
The table shows a function. Is the function linear or nonlinear? (A) linear (B) nonlinear

To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.
Pick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.
Call the values in the first row x1 and y1. Call the values in the second row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{11 - 5}{6 - 5}
 = \frac{6}{1}
 = 6
Now pick any other two rows and calculate the rate of change between them.
Call the values in the second row x1 and y1. Call the values in the third row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{17 - 11}{7 - 6}
 = \frac{6}{1}
 = 6
The two rates of change are the same.
If you checked the rate of change between rows 1 and 3, you would find that it is also 6.
This means the rate of change is the same for each pair of points. So, the function has a constant rate of change.
The function is linear.

Thus, the final answer is {"answer": "linear"}.


Prompt:
<image>
Solve this problem according to the provided picture in a step-wise manner. Present the final answer in a JSON format, outlined as {"answer": "<YOUR ANSWER>"}.
How much money does Gabrielle need to buy 2 bowls of cereal and 9 egg sandwiches? (Unit: $)

Find the cost of 2 bowls of cereal.

$3.34 × 2 = $6.68

Find the cost of 9 egg sandwiches.

$6.78 × 9 = $61.02

Now find the total cost.

$6.68 + $61.02 = $67.70

Gabrielle needs $67.70.

So, the answer is {"answer": "67.70"}.


Prompt:
<image>
Give you a table image, answer this question. Let's think step by step. Finally, your final answer should be in the JSON format of {"answer": "<YOUR ANSWER>"}.
Reba buys 3 kilograms of low-fat yogurt and 5 kilograms of plain yogurt. How much does she spend? (Unit: $)

Find the cost of the low-fat yogurt. Multiply:

$1.44 × 3 = $4.32

Find the cost of the plain yogurt. Multiply:

$0.58 × 5 = $2.90

Now find the total cost by adding:

$4.32 + $2.90 = $7.22

She spends $7.22.

So, the answer is {"answer": "7.22"}.


Prompt:
<image>
According to the table titled 'Kingwood School District sports budget', solve this problem and give detail solutions. Present the final answer in a JSON format, outlined as {"answer": "<YOUR ANSWER>"}.

Each year the Kingwood School District publishes its annual budget, which includes information on the sports program's per-student spending. According to the table, what was the rate of change between 2012 and 2013? (Unit: $, per year)

Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{$36 - $29}{2013 - 2012}
 = \frac{$36 - $29}{1 year}
 = \frac{$7}{1 year}
 = $7 per year
The rate of change between 2012 and 2013 was $7 per year.

So, the answer is {"answer": "7"}.


Prompt:
<image>
Give you a table image, solve this math word problem based on the table. Let's think step by step. The final result should be presented in the JSON format of {"answer": "<YOUR ANSWER>"}.

Table title: Playing soccer last week

Problem: A soccer coach asked the members of her team how many times they played soccer last week. How many people played soccer fewer than 3 times?

Find the rows for 0, 1, and 2 times. Add the frequencies for these rows.

Add:

19 + 15 + 20 = 54

54 people played soccer fewer than 3 times.

So, the answer is {"answer": "54"}.


Prompt:
<image>
Check the table regarding to 'Broken tiles per shipment', and sequentially solve the math word problem, writing out each step of your reasoning process. Conclude your response with a final answer in the JSON format {"answer": "<YOUR ANSWER>"}.
Arlington Flooring tracked the number of broken tiles in each shipment it received last year. How many shipments had less than 77 broken tiles? (Unit: shipments)

Count all the leaves in the rows with stems 3, 4, 5, and 6.

In the row with stem 7, count all the leaves less than 7.

You counted 19 leaves, which are blue in the stem-and-leaf plots above. 19 shipments had less than 77 broken tiles.

Thus, the final answer is {"answer": "19"}.


Prompt:
<image>
Based on the table picture with the title 'Soccer goals last season', unfold the steps to solve the problem given next. Finally, your final answer should be in the JSON format of {"answer": "<YOUR ANSWER>"}.
Problem: The soccer coach is preparing for the upcoming season by seeing how many goals his team members scored last season. How many team members did not score a goal last season?

Find the row for 0 goals last season and read the frequency. The frequency is 3.

3 team members scored no goals last season.

Therefore, the final answer is {"answer": "3"}.


Prompt:
<image>
With the shown table image as your reference, carefully work out a detailed solution to the following question. Present the final answer in a JSON format, outlined as {"answer": "<YOUR ANSWER>"}.
Table title: Books read
Question: Jeanette's classmates recorded how many books they read last year. What is the range of the numbers?

Read the numbers from the table.

30, 49, 35, 41, 35, 49, 36, 42

First, find the greatest number. The greatest number is 49.

Next, find the least number. The least number is 30.

Subtract the least number from the greatest number:

49 − 30 = 19

The range is 19.

So, the answer is {"answer": "19"}.


Prompt:
<image>
Question: The table shows a function. Is the function linear or nonlinear? (A) linear (B) nonlinear
Solve the above question based on the table. Conclude your response with the final answer in the JSON format, structured as {"answer": "<YOUR ANSWER>"}.

To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.
Pick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.
Call the values in the first row x1 and y1. Call the values in the second row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{9 - 7}{10 - 9}
 = \frac{2}{1}
 = 2
Now pick any other two rows and calculate the rate of change between them.
Call the values in the first row x1 and y1. Call the values in the third row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{10 - 7}{11 - 9}
 = \frac{3}{2}
 = 1\frac{1}{2}
The rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.
The function is nonlinear.

Thus, the final answer is {"answer": "nonlinear"}.


Prompt:
<image>
Using the table of 'Cherries sold', unfold the math word problem presented below, detailing every step of your calculation. In the last of your solution, output the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.
A farmer wrote down how many kilograms of cherries were sold in the past 4 days. How many more kilograms of cherries were sold on Tuesday than on Monday? (Unit: kilograms of cherries)

Find the numbers in the table.

Tuesday: 844
Monday: 101

Now subtract: 844 - 101 = 743.

743 more kilograms of cherries were sold on Tuesday.

So, the answer is {"answer": "743"}.


Prompt:
<image>
Check the table regarding to 'Hours of babysitting', and sequentially solve the math word problem, writing out each step of your reasoning process. In the last of your solution, output the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.
Devon looked at her calendar to figure out how much time she spent babysitting each month. What is the median of the numbers?

Read the numbers from the table.

92, 91, 91, 91, 89

First, arrange the numbers from least to greatest:

89, 91, 91, 91, 92

Now find the number in the middle.

89, 91, 91, 91, 92

The number in the middle is 91.

The median is 91.

So, the answer is {"answer": "91"}.


Prompt:
<image>
Show the detailed solution to solve the following problem. Present the final answer in a JSON format, outlined as {"answer": "<YOUR ANSWER>"}. The problem is related to the given table titled 'Baskets made'.

Problem: Andy jotted down how many baskets he made during basketball practice each day. What is the range of the numbers?

Read the numbers from the table.

7, 2, 10, 6, 7, 6

First, find the greatest number. The greatest number is 10.

Next, find the least number. The least number is 2.

Subtract the least number from the greatest number:

10 − 2 = 8

The range is 8.

So, the answer is {"answer": "8"}.


Prompt:
<image>
How much money does Jacob need to buy a python and an alpaca? (Unit: $)

Solve the above problem using the table information. Output the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.

Add the price of a python and the price of an alpaca:

$8,967.00 + $1,084.00 = $10,051.00

Jacob needs $10,051.00.

So, the answer is {"answer": "10,051"}.


Prompt:
<image>
Give you a table. Please solve the math problem below, showing each step. Output the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.

Each soccer field has 10 sprinklers. How many sprinklers are on 5 soccer fields? (Unit: sprinklers)

Count by tens. Use the chart: there are 50 sprinklers on 5 soccer fields.

So, the answer is {"answer": "50"}.


Prompt:
<image>
Starting with the provided table, detail your process in solving this problem. In the last of your solution, output the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.
Hazel has $71.00. Does she have enough to buy a photograph signed by a famous singer and a bat signed by a famous baseball player? (A) yes (B) no

Add the price of a photograph signed by a famous singer and the price of a bat signed by a famous baseball player:

$42.73 + $31.29 = $74.02

$74.02 is more than $71.00. Hazel does not have enough money.

So, the answer is {"answer": "no"}.


Prompt:
<image>
Please solve the problem based on the given image. In the end, output your final answer using the JSON format: {"answer": "<YOUR ANSWER>"}.
Problem: Look at the table. Then answer the question. At a price of $20, is there a shortage or a surplus? (A) shortage (B) surplus
Your Solution:

At the price of $20, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.

Therefore, the final answer is {"answer": "surplus"}.


Prompt:
<image>
Based on this table about 'Children's weights (lbs)', solve the following problem. Output the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.
As part of a statistics project, a math class weighed all the children who were willing to participate. What is the weight of the lightest child? (Unit: pounds)

Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.

Now find the lowest leaf in the first row. The lowest leaf is 1.

The weight of the lightest child has a stem of 2 and a leaf of 1. Write the stem first, then the leaf: 21.

The weight of the lightest child is 21 pounds.

So, the answer is {"answer": "21"}.


Prompt:
<image>
Solve this problem according to the provided picture in a step-wise manner. The concluding answer should be in the JSON structure, formatted as {"answer": "<YOUR ANSWER>"}.
Marco has $2.04. How much money will Marco have left if he buys a gift bag and a party hat? (Unit: $)

Find the total cost of a gift bag and a party hat.

$0.69 + $0.43 = $1.12

Now subtract the total cost from the starting amount.

$2.04 - $1.12 = $0.92

Marco will have $0.92 left.

So, the answer is {"answer": "0.92"}.


Prompt:
<image>
Table title: Ferry fares
Math word problem: For an economics project, Jayden determined the cost of ferry rides for bicycles and cars. Which charges less for a bicycle, the Ocracoke ferry or the Fauntleroy-Vashon ferry? (A) Ocracoke (B) Fauntleroy-Vashon
Solve the above problem based on the table information. Let's think step by step. Finally, your final answer should be in the JSON format of {"answer": "<YOUR ANSWER>"}.

Find the Bicycle column. Compare the numbers in this column for Ocracoke and Fauntleroy-Vashon.

$3.00 is less than $5.00. The Ocracoke ferry charges less for a bicycle.

Therefore, the final answer is {"answer": "Ocracoke"}.


Prompt:
<image>
Solve this problem according to the provided picture in a step-wise manner. At the end of your output, present the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.
How much money does Gabe need to buy 7 books of crossword puzzles and 6 books of piano music? (Unit: $)

Find the cost of 7 books of crossword puzzles.

$2.55 × 7 = $17.85

Find the cost of 6 books of piano music.

$7.76 × 6 = $46.56

Now find the total cost.

$17.85 + $46.56 = $64.41

Gabe needs $64.41.

So, the answer is {"answer": "64.41"}.


Prompt:
<image>
The table shows a function. Is the function linear or nonlinear? (A) linear (B) nonlinear

Solve the above problem using the table information. Conclude your response with a final answer in the JSON format {"answer": "<YOUR ANSWER>"}.

To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.
Pick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.
Call the values in the first row x1 and y1. Call the values in the second row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{9 - 19}{15 - 14}
 = \frac{-10}{1}
 = -10
Now pick any other two rows and calculate the rate of change between them.
Call the values in the first row x1 and y1. Call the values in the third row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{1 - 19}{16 - 14}
 = \frac{-18}{2}
 = -9
The rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.
The function is nonlinear.

Thus, the final answer is {"answer": "nonlinear"}.


Prompt:
<image>
Problem:
How much money does Danielle need to buy 7 beach towels? (Unit: $)

Answer the above problem related to the table. The final result should be presented in the JSON format of {"answer": "<YOUR ANSWER>"}.
Solution:

Find the total cost of 7 beach towels by multiplying 7 times the price of a beach towel.

$10 × 7 = $70

Danielle needs $70.

So, the answer is {"answer": "70"}.


Prompt:
<image>
Check out the table image. Provide a detail solution to this problem. Present the final answer in a JSON format, outlined as {"answer": "<YOUR ANSWER>"}.

Problem: Look at the table. Then answer the question. At a price of $410, is there a shortage or a surplus? (A) shortage (B) surplus

Solution:

At the price of $410, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.

So, the answer is {"answer": "surplus"}.


Prompt:
<image>
Starting with the provided table, detail your process in solving this problem. Finally, your final answer should be in the JSON format of {"answer": "<YOUR ANSWER>"}.
Each tank has 2 orange fish. How many orange fish are in 6 tanks?

Count by twos. Use the chart: there are 12 orange fish in 6 tanks.

So, the answer is {"answer": "12"}.


Prompt:
<image>
Give you a table image, solve this math word problem based on the table. Let's think step by step. Format the ultimate answer as a JSON, using the structure {"answer": "<YOUR ANSWER>"}.

Table title: Class enrollment

Problem: Administrators at several colleges compared the number of students enrolled in various classes. How many more students are enrolled in biochemistry at Great North College than at Robert Updike University? (Unit: students)

Find the Biochemistry column. Find the numbers in this column for Great North College and Robert Updike University.

Great North College: 14
Robert Updike University: 8

Now subtract:

14 − 8 = 6

6 more students are enrolled in biochemistry at Great North College.

Therefore, the final answer is {"answer": "6"}.


Prompt:
<image>
Give you a table image, solve this math word problem based on the table. Let's think step by step. Output the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.

Table title: Fish per tank

Problem: A pet store owner had her staff count the number of fish in each tank. What is the largest number of fish per tank? (Unit: fish)

Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.

Now find the highest leaf in the last row. The highest leaf is 0.

The largest number of fish per tank has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.

The largest number of fish per tank is 90 fish.

So, the answer is {"answer": "90"}.


Prompt:
<image>
Check out the table image. Provide a detail solution to this problem. The final result should be presented in the JSON format of {"answer": "<YOUR ANSWER>"}.

Problem: How much more does a night's stay at Grand Mountain Inn cost than a night's stay at Summit Hotel and Spa? (Unit: $)

Solution:

Subtract the price of a night's stay at Summit Hotel and Spa from the price of a night's stay at Grand Mountain Inn.

$457.00 - $234.00 = $223.00

A night's stay at Grand Mountain Inn costs $223.00 more than a night's stay at Summit Hotel and Spa.

So, the answer is {"answer": "223"}.


Prompt:
<image>
Based on this table of 'Students receiving scholarships', answer the following question. Give detailed solution consisting of each step. Conclude your response with the final answer in the JSON format, structured as {"answer": "<YOUR ANSWER>"}.
The financial aid office at Massey University produced an internal report on the number of students receiving scholarships. According to the table, what was the rate of change between 2010 and 2011? (Unit: students per year)

Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{20 students - 24 students}{2011 - 2010}
 = \frac{20 students - 24 students}{1 year}
 = \frac{-4 students}{1 year}
 = -4 students per year
The rate of change between 2010 and 2011 was - 4 students per year.

So, the answer is {"answer": "-4"}.


Prompt:
<image>
Please solve the problem based on the given image. Conclude your response with a final answer in the JSON format {"answer": "<YOUR ANSWER>"}.
Problem: A store recently released a new line of alarm clocks that emits a smell to wake you up in the morning. The head of sales tracked buyers' ages and which smells they preferred. What is the probability that a randomly selected buyer is under 13 years old and purchased a clock scented like bacon? Simplify any fractions.
Your Solution:

Let A be the event "the buyer is under 13 years old" and B be the event "the buyer purchased a clock scented like bacon".
To find the probability that a buyer is under 13 years old and purchased a clock scented like bacon, first identify the sample space and the event.
The outcomes in the sample space are the different buyers. Each buyer is equally likely to be selected, so this is a uniform probability model.
The event is A and B, "the buyer is under 13 years old and purchased a clock scented like bacon".
Since this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.

Find the number of outcomes in the event A and B.
A and B is the event "the buyer is under 13 years old and purchased a clock scented like bacon", so look at the table to see how many buyers are under 13 years old and purchased a clock scented like bacon.
The number of buyers who are under 13 years old and purchased a clock scented like bacon is 5.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of buyers.
5 + 3 + 6 + 5 = 19

Find P(A and B).
Since all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.
P(A and B) = \frac{# of outcomes in A and B}{total # of outcomes}
 = \frac{5}{19}
The probability that a buyer is under 13 years old and purchased a clock scented like bacon is \frac{5}{19}.

Thus, the final answer is {"answer": "5/19"}.


Prompt:
<image>
Examine the table of 'Art teacher's schedule' and proceed to solve the following math word problem in a stepwise manner. Provide a concluding answer in a JSON structure, using the format {"answer": "<YOUR ANSWER>"}.
Look at the following schedule. When does Advanced Art class end? (A) 12:25 P.M. (B) 10:05 A.M. (C) 9:20 A.M. (D) 11:15 A.M.

Find Advanced Art class on the schedule. Find the end time for Advanced Art class.

Advanced Art: 12:25 P. M.

Therefore, the final answer is {"answer": "12:25 P.M."}.


Prompt:
<image>
Given the table about 'Books checked out', solve the following math problem step by step. Provide a concluding answer in a JSON structure, using the format {"answer": "<YOUR ANSWER>"}.
The city library monitored the number of books checked out each day. On which day were the most books checked out? (A) Thursday (B) Friday (C) Saturday (D) Sunday

Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 776.

Now find the corresponding day. Thursday corresponds to 776.

Thus, the final answer is {"answer": "Thursday"}.


Prompt:
<image>
According to the table, solve this problem and give detail solutions. Provide a concluding answer in a JSON structure, using the format {"answer": "<YOUR ANSWER>"}.

Tom has $13. Does he have enough to buy a book about the Olympics and a book about reptiles? (A) yes (B) no

Add the price of a book about the Olympics and the price of a book about reptiles:

$9 + $5 = $14

$14 is more than $13. Tom does not have enough money.

Thus, the final answer is {"answer": "no"}.


Prompt:
<image>
Examine the table of 'Cherries sold' and proceed to solve the following math word problem in a stepwise manner. Output the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.
A farmer wrote down how many kilograms of cherries were sold in the past 4 days. On which day were the most kilograms of cherries sold? (A) Saturday (B) Sunday (C) Monday (D) Tuesday

Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 992.

Now find the corresponding day. Sunday corresponds to 992.

So, the answer is {"answer": "Sunday"}.


Prompt:
<image>
Question: Look at the table. Then answer the question. At a price of $985, is there a shortage or a surplus? (A) shortage (B) surplus
Solve the above question based on the table. Format the ultimate answer as a JSON, using the structure {"answer": "<YOUR ANSWER>"}.

At the price of $985, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.

So, the answer is {"answer": "surplus"}.


Prompt:
<image>
Based on this table of 'Articles per magazine', answer the following question. Give detailed solution consisting of each step. The final result should be presented in the JSON format of {"answer": "<YOUR ANSWER>"}.
Edmond counted the number of articles in several different magazines. How many magazines had at least 40 articles but less than 50 articles?

Count all the leaves in the row with stem 4.

You counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 magazines had at least 40 articles but less than 50 articles.

So, the answer is {"answer": "2"}.


Prompt:
<image>
Based on the table picture with the title 'Cheese consumption per capita (kg)', unfold the steps to solve the problem given next. Provide a concluding answer in a JSON structure, using the format {"answer": "<YOUR ANSWER>"}.
Problem: An agricultural agency is researching how much cheese people have been eating in different parts of the world. Which country consumed the least cheese per capita in 2006? (A) Austria (B) Argentina (C) Canada (D) Australia

Look at the numbers in the 2006 column. Find the least number in this column.

The least number is 10, which is in the Australia row. Australia consumed the least cheese per capita in 2006.

Thus, the final answer is {"answer": "Australia"}.


Prompt:
<image>
Table title: Participants per race
Question: A volunteer for the local running club counted the number of participants at each race. How many races had fewer than 30 participants?
Solve the above question. Format the ultimate answer as a JSON, using the structure {"answer": "<YOUR ANSWER>"}.
Your detailed solution:

Count all the leaves in the rows with stems 1 and 2.

You counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 races had fewer than 30 participants.

Therefore, the final answer is {"answer": "4"}.


Prompt:
<image>
Given the table about 'Number of books sold', solve the following math problem step by step. The final result should be presented in the JSON format of {"answer": "<YOUR ANSWER>"}.
A bookstore employee looked up how many books were sold each month. In which month did the bookstore sell the fewest books? (A) July (B) August (C) September (D) October

Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 545.

Now find the corresponding month. August corresponds to 545.

Thus, the final answer is {"answer": "August"}.


Prompt:
<image>
Considering the table of 'Trivia game scores', answer the question below by showing each progressive step toward the answer. Present the final answer in a JSON format, outlined as {"answer": "<YOUR ANSWER>"}.
Some friends played a trivia game and recorded their scores. What is the range of the numbers?

Read the numbers from the table.

3, 4, 10, 8, 10

First, find the greatest number. The greatest number is 10.

Next, find the least number. The least number is 3.

Subtract the least number from the greatest number:

10 − 3 = 7

The range is 7.

So, the answer is {"answer": "7"}.


Prompt:
<image>
Show the detailed solution to solve the following problem. Present the final answer in a JSON format, outlined as {"answer": "<YOUR ANSWER>"}. The problem is related to the given table titled 'Tractors made'.

Problem: A farm equipment company kept a record of the number of tractors made each month. What is the mode of the numbers?

Read the numbers from the table.

56, 56, 52, 52, 52

First, arrange the numbers from least to greatest:

52, 52, 52, 56, 56

Now count how many times each number appears.

52 appears 3 times.
56 appears 2 times.

The number that appears most often is 52.

The mode is 52.

So, the answer is {"answer": "52"}.


Prompt:
<image>
Given the table about 'Hours worked', solve the following math problem step by step. Finally, your final answer should be in the JSON format of {"answer": "<YOUR ANSWER>"}.
A waitress kept track of how many hours she worked each day. What is the range of the numbers?

Read the numbers from the table.

8, 8, 2, 9, 5, 4, 9

First, find the greatest number. The greatest number is 9.

Next, find the least number. The least number is 2.

Subtract the least number from the greatest number:

9 − 2 = 7

The range is 7.

So, the answer is {"answer": "7"}.


Prompt:
<image>
Look at the table. Then answer the question. At a price of $640, is there a shortage or a surplus? (A) shortage (B) surplus

Solve the above problem using the table information. In the last of your solution, output the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.

At the price of $640, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.

So, the answer is {"answer": "shortage"}.


Prompt:
<image>
Solve this problem according to the provided picture in a step-wise manner. Finally, your final answer should be in the JSON format of {"answer": "<YOUR ANSWER>"}.
How much money does Diane need to buy a quartz crystal and a piece of rose quartz? (Unit: $)

Add the price of a quartz crystal and the price of a piece of rose quartz:

$0.60 + $0.22 = $0.82

Diane needs $0.82.

So, the answer is {"answer": "0.82"}.


Prompt:
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According to the table titled 'Selling cookies', solve this problem and give detail solutions. Present the final answer in a JSON format, outlined as {"answer": "<YOUR ANSWER>"}.

A parent volunteer counted the number of boxes sold by each student participating in the cookie fundraiser. How many students sold at least 4 boxes of cookies?

Find the rows for 4 and 5 boxes of cookies. Add the frequencies for these rows.

Add:

0 + 20 = 20

20 students sold at least 4 boxes of cookies.

So, the answer is {"answer": "20"}.


Prompt:
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Math word problem: A college professor asked her Psychology students to complete a personality test. She paid special attention to her students' career goals and their greatest fears. What is the probability that a randomly selected student has a fear of heights and wants to be a social worker? Simplify any fractions.

Show your detailed solution with the final answer in the JSON format {'answer': '<YOUR ANSWER>'}.

Let A be the event "the student has a fear of heights" and B be the event "the student wants to be a social worker".
To find the probability that a student has a fear of heights and wants to be a social worker, first identify the sample space and the event.
The outcomes in the sample space are the different students. Each student is equally likely to be selected, so this is a uniform probability model.
The event is A and B, "the student has a fear of heights and wants to be a social worker".
Since this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.

Find the number of outcomes in the event A and B.
A and B is the event "the student has a fear of heights and wants to be a social worker", so look at the table to see how many students have a fear of heights and want to be a social worker.
The number of students who have a fear of heights and want to be a social worker is 3.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of students.
8 + 3 + 2 + 5 = 18

Find P(A and B).
Since all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.
P(A and B) = \frac{# of outcomes in A and B}{total # of outcomes}
 = \frac{3}{18}
 = \frac{1}{6}
The probability that a student has a fear of heights and wants to be a social worker is \frac{1}{6}.

Thus, the final answer is {"answer": "1/6"}.


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Based on this table about 'Points scored in basketball', answer the following question in a stepwise manner. Conclude your response with a final answer in the JSON format {"answer": "<YOUR ANSWER>"}.
Some players on a co-ed basketball team compared the total number of points they scored over the course of a year. What fraction of the points were scored by Alexis? Simplify your answer.

Find how many points Alexis scored.

30

Find how many points the players scored in total.

110 + 30 + 100 = 240

Divide 30 by240.

\frac{30}{240}

Reduce the fraction.

\frac{30}{240} to \frac{1}{8}

\frac{1}{8} of points were scored by Alexis.

So, the answer is {"answer": "1/8"}.


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Table title: Ages
Math word problem: At their family reunion, the Moreno family recorded everyone's age. How many people are at least 50 years old but less than 70 years old? (Unit: people)
Solve the above problem based on the table information. Let's think step by step. Conclude your response with a final answer in the JSON format {"answer": "<YOUR ANSWER>"}.

Count all the leaves in the rows with stems 5 and 6.

You counted 10 leaves, which are blue in the stem-and-leaf plot above. 10 people are at least 50 years old but less than 70 years old.

Therefore, the final answer is {"answer": "10"}.


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Solve the problem according to the provided table image. Please provide detailed solution. In the last of your solution, output the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.
Table title: Ice cream cones sold
Problem: An ice cream shop kept track of how many ice cream cones it sold in the past 3 days. How many more ice cream cones did the shop sell on Wednesday than on Monday? (Unit: ice cream cones)

Find the numbers in the table.

Wednesday: 517
Monday: 123

Now subtract: 517 - 123 = 394.

The shop sold 394 more ice cream cones on Wednesday.

So, the answer is {"answer": "394"}.


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Please solve the problem based on the given image. Conclude your response with the final answer in the JSON format, structured as {"answer": "<YOUR ANSWER>"}.
Problem: Abby buys 1.6 pounds of hazelnuts. What is the total cost? (Unit: $)
Your Solution:

Find the cost of the hazelnuts. Multiply the price per pound by the number of pounds.
$4 × 1.6 = $6.40
The total cost is $6.40.

So, the answer is {"answer": "6.40"}.


Prompt:
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With the shown table image as your reference, carefully work out a detailed solution to the following question. Conclude your response with the final answer in the JSON format, structured as {"answer": "<YOUR ANSWER>"}.
Table title: Cheese consumption per capita (kg)
Question: An agricultural agency is researching how much cheese people have been eating in different parts of the world. Which country consumed the most cheese per capita in 2006? (A) Great Britain (B) Austria (C) Germany (D) Canada

Look at the numbers in the 2006 column. Find the greatest number in this column.

The greatest number is 20, which is in the Germany row. Germany consumed the most cheese per capita in 2006.

Thus, the final answer is {"answer": "Germany"}.


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Starting with the provided table, detail your process in solving this problem. The final result should be presented in the JSON format of {"answer": "<YOUR ANSWER>"}.
Maddie has $0.06. Does she have enough to buy a sour apple candy and a peppermint candy? (A) yes (B) no

Add the price of a sour apple candy and the price of a peppermint candy:

$0.03 + $0.02 = $0.05

$0.05 is less than $0.06. Maddie does have enough money.

So, the answer is {"answer": "yes"}.


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Solve this math word problem according to the provided table of 'Phone calls'. In the end, output your final answer using the JSON format: {"answer": "<YOUR ANSWER>"}.
Some companies compared how many phone calls they made. Which company made the fewest phone calls? (A) Henderson Co. (B) Critical Insight Consulting (C) Northside Cycles (D) Reardon Corporation

Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 918.

Now find the corresponding company. Northside Cycles corresponds to 918.

Therefore, the final answer is {"answer": "Northside Cycles"}.


Prompt:
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Please solve the problem based on the given image. At the end of your output, present the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.
Problem: How much money does Marco need to buy a small metal hook and a brass clip? (Unit: $)
Your Solution:

Add the price of a small metal hook and the price of a brass clip:

$0.05 + $0.09 = $0.14

Marco needs $0.14.

So, the answer is {"answer": "0.14"}.


Prompt:
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Problem:
Some teachers compared how many years they have been teaching. What is the range of the numbers?
Solve the above problem based on the table titled 'Years of teaching'. The concluding answer should be in the JSON structure, formatted as {"answer": "<YOUR ANSWER>"}.

Read the numbers from the table.

7, 3, 2, 5, 7, 6, 2, 9

First, find the greatest number. The greatest number is 9.

Next, find the least number. The least number is 2.

Subtract the least number from the greatest number:

9 − 2 = 7

The range is 7.

So, the answer is {"answer": "7"}.


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Question: How much would it cost to buy 5 pounds of Kalamata olives, 5 pounds of Greek olives, and 5 pounds of black olives? (Unit: $)
Solve the above question based on the table. At the end of your output, present the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.

Find the cost of the Kalamata olives. Multiply:

$4.69 × 5 = $23.45

Find the cost of the Greek olives. Multiply:

$6.22 × 5 = $31.10

Find the cost of the black olives. Multiply:

$3.55 × 5 = $17.75

Now find the total cost by adding:

$23.45 + $31.10 + $17.75 = $72.30

It would cost $72.30.

So, the answer is {"answer": "72.30"}.


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Give you a table. Please solve the math problem below, showing each step. The final result should be presented in the JSON format of {"answer": "<YOUR ANSWER>"}.

Look at Carly's pay stub. Carly lives in a state without state income tax. How much payroll tax did Carly pay in total? (Unit: $)

To find the total payroll tax, add the federal income tax and the other taxes.
The federal income tax is $47.50. The other taxes are $32.67. Add.
$47.50 + $32.67 = $70.17
Carly paid a total of $70.17 in payroll tax.

Therefore, the final answer is {"answer": "70.17"}.


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According to the table titled 'Roller coasters per amusement park', solve this problem and give detail solutions. Present the final answer in a JSON format, outlined as {"answer": "<YOUR ANSWER>"}.

Liam found a list of the number of roller coasters at each amusement park in the state. How many amusement parks have at least 35 roller coasters but fewer than 43 roller coasters?

Find the row with stem 3. Count all the leaves greater than or equal to 5.

In the row with stem 4, count all the leaves less than 3.

You counted 5 leaves, which are blue in the stem-and-leaf plots above. 5 amusement parks have at least 35 roller coasters but fewer than 43 roller coasters.

Thus, the final answer is {"answer": "5"}.


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Using the table of 'Bus schedule', unfold the math word problem presented below, detailing every step of your calculation. The final result should be presented in the JSON format of {"answer": "<YOUR ANSWER>"}.
Look at the following schedule. When does the bus depart from the post office? (A) 1:30 P.M. (B) 12:25 P.M. (C) 11:00 A.M. (D) 10:30 A.M.

Find the post office on the schedule. Find the departure time for the post office.

the post office: 11:00 A. M.

Therefore, the final answer is {"answer": "11:00 A.M."}.


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Please solve the problem based on the given image. Output the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.
Problem: Shane bought 0.3 pounds of trail mix. How much did he spend? (Unit: $)
Your Solution:

Find the cost of the trail mix. Multiply the price per pound by the number of pounds.
$6 × 0.3 = $1.80
He spent $1.80.

Thus, the final answer is {"answer": "1.80"}.


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Take a look at this table about 'Jam sales on Saturday', and tackle the math word problem below in a sequential manner. In the end, output your final answer using the JSON format: {"answer": "<YOUR ANSWER>"}.
Grace sells jars of homemade jam at the farmers' market. She kept track of the jars she sold on Saturday in a frequency chart. How many jars of the two best-selling flavors did Grace sell altogether? (Unit: jars)

To find the total number of jars of the two best-selling flavors, add up the number of jars of each best-selling flavor.
21 + 12 = 33
Grace sold 33 jars of jam altogether.

So, the answer is {"answer": "33"}.


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Gina has $26.50. Does she have enough to buy a carrot cake and a peach pie? (A) yes (B) no

Solve the above problem using the table information. In the end, output your final answer using the JSON format: {"answer": "<YOUR ANSWER>"}.

Add the price of a carrot cake and the price of a peach pie:

$16.02 + $11.34 = $27.36

$27.36 is more than $26.50. Gina does not have enough money.

So, the answer is {"answer": "no"}.


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Refer to the provided table and work through the question step by step. In the last of your solution, output the final answer as JSON in the format {"answer": "<YOUR ANSWER>"}.
Table title: Festival schedule
Problem: Look at the following schedule. When does the drumming performance end? (A) 3:10 P.M. (B) 10:40 A.M. (C) 8:35 P.M. (D) 6:30 P.M.

Find the drumming performance on the schedule. Find the end time for the drumming performance.

drumming performance: 10:40 A. M.

So, the answer is {"answer": "10:40 A.M."}.


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With the table titled 'Rounds in the spelling bee' in mind, please break down and resolve the question below step by step. The concluding answer should be in the JSON structure, formatted as {"answer": "<YOUR ANSWER>"}.

Mrs. Huber told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2015 and 2016? (Unit: rounds per year)

Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{20 rounds - 18 rounds}{2016 - 2015}
 = \frac{20 rounds - 18 rounds}{1 year}
 = \frac{2 rounds}{1 year}
 = 2 rounds per year
The rate of change between 2015 and 2016 was 2 rounds per year.

Therefore, the final answer is {"answer": "2"}.