You decide to park your car in a parking garage that charges $\$3.00$ for the first hour and $\$1.00$ for each hour (or any part of an hour) after that.

1. How much will it cost to park your car for $90$ minutes?

   Answer (a):

   $\$4.00$

2. How much will it cost to park your car for $118$ minutes? $119$ minutes?

   Answer (b):

   $\$4.00$ for both

3. How much will it cost to park your car for $120$ minutes? $121$ minutes?

   Answer (c):

   $\$4.00$ for $120$ minutes, $\$5.00$ for $121$ minutes

4. Graph the cost in relation to the length of time your car is parked.

   Hint (d):

   Your graph should be a step graph.

5. Is this function continuous?

   Answer (e):

   No, it is not.

6. Describe how the graph of this function will change if the parking garage raises their parking rate so that the first hour costs $\$5.00$.