SOLUTION: Car rental agency A will rent a compact car for $40 per day and an additional charge of $.20 per mile. Car rental agency B will be charged only $.16 per mile but charges $51 per

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Question 190687:
Car rental agency A will rent a compact car for $40 per day and an additional charge of $.20 per mile. Car rental agency B will be charged only $.16 per mile but charges $51 per day. If Adam wanted to rent a car for four days, how many miles would Adam have to drive to make rental agency B better bargain?

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
40*4+.20x>51*4+.16x
150+.20x>204+.16x
.2ox-16x>204-150
.04x>54
x>54/.04
x>1,350 miles will make plan B a better buy.
Proof:
Let x=1,351
160+.2*1,351>204+.16*1,351
160+270.2>204+216.16
430.20>420.16