The graph below shows the total distance [math], in miles, traveled by a bicyclist after [math] hours.



(a) Estimate the bicyclist's average velocity over the following time intervals.
Over [math], the average velocity is approximately mi/hr.
Over [math], the average velocity is approximately mi/hr.
Over [math], the average velocity is approximately mi/hr.

(b) Estimate the bicyclist's instantaneous velocity at the following times.
At [math] hour, the instantaneous velocity is approximately mi/hr.
At [math] hours, the instantaneous velocity is approximately mi/hr.
At [math] hours, the instantaneous velocity is approximately mi/hr.

(c) Estimate the bicyclist's maximum velocity and the specific time at which it occurs.
The maximum velocity is approximately mi/hr, which occurs when [math] hr.