Suzanne is going to rent a car while she is out of town. One car rental company offers a flat rate of $35 per day plus $0.10 per mile. Another car rental company offers the same car for $25 per day plus $0.25 per mile. She will need the car for 5 days. How many miles would she need to drive for the first rental company to be a better deal?

Question

Ewing

Mathematics

24 August, 16:48

Suzanne is going to rent a car while she is out of town. One car rental company offers a flat rate of $35 per day plus $0.10 per mile. Another car rental company offers the same car for $25 per day plus $0.25 per mile. She will need the car for 5 days. How many miles would she need to drive for the first rental company to be a better deal?

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Fernando Fleming · Answer 1

R1 = 35*d +.10*m, rental car company 1r2 = 25*d +.25m, rental car company 2

r1 will be a better deal when when r2 > r1r2 > r1 when35*5 +.10*m > 25*5 +.25m5 (35-25) > (.25 -.10) m5*10 > (.15) m50/.15 > mm > 50/.15 = 33 1/3

Ans. When 33 1/3 miles have been driven, rental car company r1 will be a better deal.