Question

Shawna's Surf Shop charges a flat fee of $26.25 to rent a surfboard and wetsuit. Darla's Surf Shop charges $4.50

per hour and a base fee of $8.25 to rent the same items. How many hours will the two surf shops charge the same
amount?

Answer 1

Answer: 4 hours

Explanation:

First, we will write an equation for Darla's Surf Shop. Let y be the total cost and x be the number of hours rented;

y = 4.5x + 8.25

Next, we will substitute $26.25, the cost of Shawna's Surf Shop, into the equation for Darla's as y, the total cost;

y = 4.5x + 8.25

(26.25) = 4.5x + 8.25

18 = 4.5x

4 = x

At four hours the two surf shops will charge the same amount.