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.

what is correct answers?

Answer 1

To test whether Enid's claim that the distance she jogs and the number of calories she burns are in a proportional relationship, the following methods would be appropriate:

A. She could calculate the ratio of calories burned to miles jogged for each data point and compare the results.
This method directly assesses whether the calorie-to-mile ratio is constant, which is a requirement for proportionality.

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.
This method is effective because if the relationship is proportional, the graph should form a straight line that passes through the origin.

So, the correct answers are A and B.