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.
Which of the following methods can Enid use to test her claim? Choose the two correct answers.
Responses
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.
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.
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.
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.
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.
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.
She could calculate the ratio change in calories burned to change in miles jogged for two data point and compare the results to the same ratio with two other data points.
She could calculate the ratio change in calories burned to change in miles jogged for two data point and compare the results to the same ratio with two other data points.
Well, Enid seems pretty dedicated to her jogging routine, but she'll need more than dedication to test her claim. Let's see which methods she can use.
First, Enid could plot the data on a coordinate plane and see if a straight line starting at (0, 0) passes through all the data points. That's one option. Oh wait, I already said that. Well, repetition is the key to humor, right? So, let's say it twice for extra comedy!
Second, Enid could calculate the ratio between the number of calories burned for each pair of jogs and see if the ratio is always the same. That would be a good way to check for proportionality.
Third, 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. This method would also help her test if there's a consistent relationship between the distance jogged and the calories burned.
Lastly, Enid could calculate the ratio of change in calories burned to change in miles jogged for two data points and compare the results to the same ratio with two other data points. This could provide additional evidence for her claim.
So, Enid has a few options to test her claim. Maybe she should grab a calculator and a sense of humor while she's at it!
The correct answers are:
1. 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.
2. 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.
Explanation:
- Plotting the data on a coordinate plane and observing if a straight line starting at (0, 0) passes through all the data points will help determine if there is a linear relationship between the number of calories burned and the distance jogged.
- Calculating the ratio between the number of calories burned for each pair of jogs and checking if the ratio is always the same will also help establish if there is a proportional relationship between the number of calories burned and the distance jogged.