Question

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

a) As the time spent swimming increases, the number of calories burned in the body increases.
b) As the number of days increase, the number of years increase.
c) As the number of months increase, the amount of interest earned on a bank deposit increases.
d) As the number of pages in a book increases, the weight of the book increases.

Answer 1

A.) As the time spent swiming increases, the number of calories nurbed in the body increases.

Why?

Because if you say the number of calories burned in the body increases, the time spent swimming increases, will still lake since and mean the same thing

Hope I helped

Answer 2

The correct answer is:

b) As the number of days increase, the number of years increase.

Step-by-step explanation:

The way this is written, the independent variable is the number of days and the dependent variable is the number of years. The slope would be the number of years' increase per day.

If the independent and dependent variables are switched, the number of years would be independent and the number of days would be dependent. The slope would be the number of days' increase per year.

Both of these slopes involve comparing time in two different formats; the slope is still meaningful for both.