To test Enid's claim that the distance she jogs and the number of calories she burns are in a proportional relationship, the two correct methods she could use are:
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.
Explanation:
- Method A is appropriate because in a proportional relationship, the ratio of the two quantities should remain the same across all data points.
- Method B is also suitable, as proportional relationships graphically represent as straight lines that pass through the origin (0,0), indicating a constant ratio.
Method C is not as effective because comparing pairs of jogs does not necessarily confirm a consistent ratio for all data points.
Method D is unrelated to the concept of proportionality as it examines the differences in calories burned rather than the ratio of calories burned to distance jogged.
2 answers