Question

Rose spent $27.50 at a parking garage in downtown Orlando. The garage charged a base fee of $5.50 for the first hour, and an hourly rate of $2.75 for each additional hour. The following sign is displayed to show the prices for the first 4 hours.

Part A: Create an equation that can be used to determine how many additional hours, ℎ, Rose parked her car in the garage.
Part B: Solve the equation to determine the number of additional hours, ℎ, Rose parked her car in the garage.
Part C: What is the total number of hours that Rose parked her car in the garage?

Answer 1

A. 27.50 = 5.50 + 2.75h

B. 8 hours

C. 9 hours

Explanation:

Total spent = $27.50

Base fee = $5.50

Hourly rate = $2.75

A. Create an equation that can be used to determine how many additional hours, ℎ, Rose parked her car in the garage

Total cost = fixed cost + variable cost

27.50 = 5.50 + 2.75h

B: Solve the equation to determine the number of additional hours, ℎ, Rose parked her car in the garage.

27.50 = 5.50 + 2.75h

Subtract 5.50 from both sides

27.50 - 5.50 = 5.50 - 5.50 + 2.75h

22 = 2.75h

Divide both sides by 2.75

h = 22/2.75

= 8

h = 8 hours

C: What is the total number of hours that Rose parked her car in the garage

Total number of hours = first hour + additional hours

= 1 + 8

= 9 hours