Math IIIB Performance Task: Piecewise-Defined Functions Question Set 1

A parking garage charges the following amounts for cars parked in the garage:

For the first hour that a car is parked in the garage, there is no charge.

After the first hour, for the next two hours that a car is parked in the garage, there is a $5 charge.

After the third hour, the garage charges $2 for each additional hour that the car is parked in the garage. If a car is parked in the garage for a fraction of an hour, the garage will charge that fraction of the additional hourly rate.

Use the information provided about the parking garage to answer each of the following questions..

If a car is parked in the garage for 30 minutes, how much will the garage charge? Explain your answer. (5 points)

If a car is parked in the garage for 2 hours and 30 minutes, how much will the garage charge? Explain your answer. (5 points)

If a car is parked in the garage for 5 hours, how much will the garage charge? Explain your answer. (5 points)

If a car is parked in the garage for 5 hours and 30 minutes, how much will the garage charge? Explain your answer. (5 points)

Complete the following table by entering the total cost of parking in the garage for the first 12 hours that a car is parked in the garage. (10 points)

Hours

Total Cost

1

2

3

4

5

6

7

8

9

10

11

12