Which situation shows a constant rate of change? A. The number of points scored in a basketball game compared with the number of
minutes played. B. The height of a monkey swinging from branch to branch over time. C. the height of a bouncing ball over time. D. The amount a person pays for gas compared with the number of gallons purchased.
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.
