Enid jogs on a treadmill for exercise. Each time she finishes jogging, the treadmill will report the number of calories she burned.Erid 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.
Which of the following methods can Erid use to test her claim? Choose the two correct answers.
1. Graph the data and see if it forms a straight line. If it does, then the relationship is proportional.
2. Calculate the ratio of calories burned to distance jogged for each of the four jogs and see if the ratios are approximately equal. If they are, then the relationship is proportional.
To test Enid's claim that the distance she jogs and the number of calories she burns are in a proportional relationship, she can use the following methods:
1) Create a scatter plot: Enid can plot the distance she jogged (independent variable) on the horizontal axis and the number of calories burned (dependent variable) on the vertical axis. If the points on the scatter plot form a straight line that passes through the origin (0,0), this would indicate a proportional relationship.
2) Calculate the constant of proportionality: Enid can select any two data points from her last four jogs and calculate the ratio of distance to calories burned for each. If the ratios are approximately equal, then it supports the claim of a proportional relationship.