SOLUTION: Basic Rental is $50.00 a day and 20 cents a mile and Roadrunner rental is $20.00 a day and 50 cents a mile. How many miles must be driven for Basic rental to be a better deal than

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Question 320394: Basic Rental is $50.00 a day and 20 cents a mile and Roadrunner rental is $20.00 a day and 50 cents a mile. How many miles must be driven for Basic rental to be a better deal than Roadrunner?
Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
50+.20X<20+.50X
.20X-.50X<20-50
-.30X<-30
X>-30/-.30 NOTE THE SIGN CHANGE WHEN DIVIDING BY A NEGATIVE VALUE.
X>100 MILES IS THE BREAK EVEN POINT.
THUS ANY MILES OVER 100 MILES MAKES BASIC A BETTER DEAL.
PROOF:
LET THE MILEAGE BE 105 MILES.
50+.20*105<20+.50*105
50+21<20+52.5
71<72.5

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