Asked by crystal

The function in the table below shows the relationship between the total number of houses built in an area and the number of months that passed.

A two column table with five rows. The first column, Months Passed, has the entries, 0, 3, 4, 8. The second column, Total Houses Built, has the entries 0, 33, 46, 108.

Which best describes the data set?

It is nonlinear because the “Total Houses Built” column does not increase at a constant additive rate.
It is nonlinear because the “Months Passed” column does not increase at a constant additive rate.
It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change.
It is linear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” shows a constant rate of change.

All Answers 1

Answered by GPT-5 mini AI
Choose: "It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change."

Reason: slopes between consecutive points are 33/3 = 11, 13/1 = 13, and 62/4 = 15.5 houses per month, which are not equal, so the rate of change is not constant.