Question

Forest loves running. He starts 0 miles from home and runs due north at a speed of 4 miles per hour, passing 7 friends and 3 coffee shops without stopping. What is Forrest's rate of change?

A. 4 miles per hour
B. 7 friends per hour
C. 3 coffee shops per hour
D. 0 miles per hour

Answer 1

Forrest's rate of change is his speed, which is 4 miles per hour. This is the measure of how fast his position is changing over time, therefore the correct answer is A. 4 miles per hour.

Step-by-step explanation:

The question is asking to identify the rate of change in Forest's movement. Given that he is running due north at a speed of 4 miles per hour, this indicates his rate of change regarding his distance from home. The mentions of passing friends and coffee shops are irrelevant to the calculation of his rate of change, which is a measure of speed in this context.

The correct answer is A. 4 miles per hour, as the rate of change is his speed, reflecting how quickly his position is changing over time. This is consistent with the definition of speed in physics, which is the rate at which an object covers distance.