SOLUTION: Car rental agency A will rent a compact car for $35 per day and an additional charge of $0.24 per mile. Car rental agency B will charge only $0.16 per mile but charges $41 per day.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Car rental agency A will rent a compact car for $35 per day and an additional charge of $0.24 per mile. Car rental agency B will charge only $0.16 per mile but charges $41 per day.      Log On

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Question 177096This question is from textbook
: Car rental agency A will rent a compact car for $35 per day and an additional charge of $0.24 per mile. Car rental agency B will charge only $0.16 per mile but charges $41 per day. If Adam wanted to rent a car for three days, how many miles would Adam have to drive to make car rental agency B a better bargain? This question is from textbook

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Let y = miles driven
and x = days rented
.
Agency A:
CostA = 35x + .24y
.
Agency B:
CostB = 41x + .16y
.
The problem sets x = 3
so:
.
Agency A:
CostA = 35(3) + .24y
CostA = 105 + .24y
.
Agency B:
CostB = 41(3) + .16y
CostB = 123 + .16y
.
Agency B would be better if:
CostB < CostA
123 + .16y < 105 + .24y
.
Solving for y:
123 + .16y < 105 + .24y
123 < 105 + .08y
18 < .08y
18/.08 < y
225 miles < y
.
He has to drive MORE than 225 miles.