Question

7. Mark needs to move to a new apartment and is trying to find the most affordable moving truck. He will only need to truck for one day. After checking the U-Haul website, he finds that he can rent a 10 - ft truck for $20.95 a day plus $1.89 per mile. He then checks the Public Storage website and finds the charge to be $37.95 a

day plus $1.19 per mile for the same size truck. Determine the number of miles for which the cost to rent from either company would be the same. Round the answer to the nearest mile (5 points).

Answer 1

24 miles

Explanation:

Let the number of miles = x.

U-Haul:

1.89x + 20.95

Public Storage:

1.19x + 37.95

Set the costs equal and solve for the mileage, x.

1.89x + 20.95 = 1.19x + 37.95

0.7x = 17

x = 24.29

Answer: 24 miles