Question

Prestige Car Rentals charges $44 per day plus 6 cents per mile to rent a mid-sized vehicle. Gateway Auto charges $35 per day plus 9 cents per mile for the same car. For what number of miles will both companies charge the same price?

Answer 1

Make two equations from the information. Then graph them and see where they intersect. The answer is 62 miles. Plug 62 back into both equations and they should both be the same number.

Answer 2

300 miles.

Explanation:

Prestige car rentals charges $44 per day plus 6 cents per mile

Let the distance will be covered by both = x miles

equation will be = 44+$0.06x ---(1)

Gateway Auto charges $35 per day plus 9 cents per mile.

35 + $0.09x-------- (2)

The number of miles will both companies charge the same price

44 + 0.06x = 35 + 0.09x

44 = 35 + 0.09x - 0.06x

44 = 35 + 0.03x

44 - 35 = 0.03x

9 = 0.03x

x =
`(9)/(0.03)`

x = 300 miles

on 300 miles both companies charges the same price.