Enid jogs on a treadmill for exercise. Each time she finishes jogging, the treadmill will report the number of calories she burned. Enid claims that the distance she jogs and the number of calories she burns are in a proportional relationship. Data from her last four jogs are shown.

Question

1.2 miles, burned 118 calories
2.0 miles, burned 190 calories
2.4 miles, burned 226 calories
3.0 miles, burned 280 calories
Which of the following methods can Enid use to test her claim? Choose the two correct answers.

A.	
She could calculate the ratio of calories burned to miles jogged for each data point and compare the results.

B.	
She could plot the data on a coordinate plane and see if a straight line starting at (0, 0) passes through all the data points.

C.	
She could calculate the ratio between the number of calories burned for each pair of jogs and see if the ratio is always the same.

D.	
She could put the data in a table and check to see that the difference between the number of calories burned changes by the same amount for each row.

GPT-4o mini · Answer

To test her claim that the distance she jogs and the number of calories she burns are in a proportional relationship, Enid can use the following methods:

A. She could calculate the ratio of calories burned to miles jogged for each data point and compare the results.

B. She could plot the data on a coordinate plane and see if a straight line starting at (0, 0) passes through all the data points.

These methods will help her determine if there is a constant ratio (indicating a proportional relationship) or a straight line through the origin (indicating proportionality). Thus, the correct answers are A and B.

C is not a correct method as it focuses on the ratios between pairs of jogs rather than checking the consistent ratio for each individual distance. D is also incorrect because it deals with differences rather than the proportional relationships she's looking to establish.