Use the image to answer the question.

A line with an arrow at the top is plotted in quadrant 1 of a coordinate plane. The x-axis is labeled Hours, and the y-axis is labeled Amount in Dollars.

Jasper is moving across town. His rental truck has a flat fee of $25 and an hourly charge of $15. The graph illustrates what he will pay. Interpret the graph. What is the rate of change?

(1 point)
Responses

40
40

15
15

25
25

−15

1 answer

The graph you described represents a relationship between hours of rental and the total amount paid in dollars. The flat fee of $25 means that regardless of the number of hours Jasper rents the truck, he starts with a base cost of $25. The hourly charge of $15 indicates that for each hour Jasper uses the truck, he adds $15 to his total cost.

The rate of change in this situation refers to how much the total amount paid changes as a function of time (in hours). Since the charge per hour is $15, this is the rate of change.

Therefore, the correct response regarding the rate of change is:

15

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