Question

Which situation shows a constant rate of change?

A. The height of a monkey swinging from branch to branch over time

B. The height of a bouncing ball over time

C. The number of points scored in a basketball game compared with the number of minutes played

D. The amount a person pays for gas compared with the number of gallons purchased

Answer 1

I believe the best answer choice is going to be D because if you think about it, when you buy gas both the price and gallonage go up. Hope this helps..

Answer 2

The correct answer is:

D) The amount a person pays for gas compared with the number of gallons purchased

Step-by-step explanation:

A constant rate of change means that for every x, y increases the same amount.

In the situation "The amount a person pays for gas compared with the number of gallons purchased ," the independent quantity, or x-value, is the number of gallons, and the dependent quantity, or y-value, is the amount paid. Since gas has a set price per gallon, for every gallon purchased, the total amount paid goes up the same amount. This means it has a constant rate of change.