Single Variable Calculus, Chapter 2, 2.5, Section 2.5, Problem 7

Suppose a parking lot charges \$3 for the first hour (or part of an hour) and $\$ 2$ for each succeeding hour
(or part), up to a daily maximum of $\$ 10$.

(a) Illustrate a graph of the cost of parking as a function of time.








(b) Explain the discontinuities of this function and their significance to someone who parks in the lot.

The function is discontinuous at $t = 1, 2, 3, 4$, and it means that the extra cost will be charged only if
someone wanted to extend his/her parking time. Also, the parking fee will be fixed at $\$ 10$ if the parking time of the car
had reached 4 hours and beyond.