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
−15
negative 15
15
15
25
25
40
I cannot see the actual image; however, based on the description provided, I can interpret the scenario.
Jasper has a rental truck that charges a flat fee and an hourly rate. The flat fee is $25, and the hourly charge is $15. If we were to graph this on a coordinate plane with the x-axis representing the hours and the y-axis representing the amount in dollars, the graph would begin at the point (0, $25) since Jasper has to pay the flat fee regardless of the number of hours.
As time goes on, for every additional hour, Jasper will be charged an extra $15. This means that for every hour (increase in x), there is a $15 increase in the amount (increase in y). On the graph, this would result in a line with a positive slope because it is going up as we move to the right.
Therefore, the rate of change, which is the slope of the line, represents the hourly charge of $15. The slope is positive because as time increases, the total cost increases at a constant rate. Hence, the rate of change is 15.
The correct answer is:
15
15