Question

A bicycle travels at a rate of 18 miles per hour for 3 hours. Let y be the distance, in miles, the bicycle travels for a given amount of time, x, in hours. This situation can be modeled by a function. Write a reasonable domain of the function?

a) x ≥ 0
b) x > 0
c) x ≥ 3
d) x > 3

Answer 1

The reasonable domain of the function is x ≥ 0.

Step-by-step explanation:

The situation can be modeled by the function y = 18x. In this function, x represents the amount of time in hours and y represents the distance traveled in miles. The bicycle travels at a constant rate of 18 miles per hour, so the distance traveled is directly proportional to the amount of time.

Since the bicycle travels at a rate of 18 miles per hour for 3 hours, the domain of the function should include x ≥ 0 because the bicycle can travel for any amount of time greater than or equal to 0 hours.