Question

A bicyclist travels at a constant speed of 12 miles per hour for a total of 45 minutes. Use set notations for the domain and range of the function that models this situation.

Answer 1

A bicyclist travels at a constant speed of 12 miles per hour for a total of 45 minutes

Domain x is number of hours

Range y is distance traveled

speed = 12 miles per hour

time = 45 minutes = $\frac{45}{60}$ = 0.75 hours

We know distance formula

Distance = speed * time

Distance = 12 * 0.75= 9 miles

Number of hours x is 0 to 0.75 hours

So domain is { $x | 0<=x<= 0.75$}

Distance is 0 to 9 miles

So range is { $x | 0<=y<= 9$}