Answer:
Let's denote the total cost as C and the number of hours as h. The equation to model this relationship can be written as:
C = 5 + 0.25(h - 2)
The first part, 5, represents the flat rate for 2 hours or less. The second part, 0.25(h - 2), represents the additional hours beyond 2 hours, where each hour costs $0.25.
To calculate the cost of parking for 10 hours, we can substitute h = 10 into the equation:
C = 5 + 0.25(10 - 2)
C = 5 + 0.25(8)
C = 5 + 2
C = $7.00
Therefore, you would have to pay $7.00 to park for 10 hours.
To find out how many hours $10 will buy, we can set the equation equal to $10 and solve for h:
10 = 5 + 0.25(h - 2)
0.25(h - 2) = 10 - 5
0.25(h - 2) = 5
h - 2 = 5 / 0.25
h - 2 = 20
h = 20 + 2
h = 22
Therefore, $10 will buy you 22 hours of parking