Question

In which scenario can you reverse the dependent and independent variables while keeping the interpretation of the slope meaningful?

As the amount of snowfall increases, the number of shovels sold increases.


As number of hours spent watching TV increases, the amount spent on electricity increases.


As the radius of a circle increases, circumference of the circle increases.


As foot size increases, sock size increases.

Answer 1

"As the radius of a circle increases, circumference of the circle increases" is the scenario in which you can reverse the dependent and independent variables while keeping the interpretation of the slope meaningful. The correct option among all the options that are given in the question is the third option.

Answer 2

The correct answer is:

As the radius of a circle increases, circumference of the circle increases.

Step-by-step explanation:

The way the statement is written, the radius of the circle is independent and the circumference of the circle is dependent. This makes the slope the change in circumference per change in radius.

If the independent and dependent variables are switched, then the circumference of the circle will be independent and the radius of the circle will be dependent. This makes the slope the change in radius per change in circumference.

Both of these have the same interpretation.