SOLUTION: A car rental company offers two plans for renting a car. Plan A: 36 dollars per day and 22 cents per mile Plan B: 38 dollars per day with free unlimited mileage For what range o

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Question 469346: A car rental company offers two plans for renting a car.
Plan A: 36 dollars per day and 22 cents per mile
Plan B: 38 dollars per day with free unlimited mileage
For what range of miles will plan B save you money?

Answer by ccs2011(207)   (Show Source): You can put this solution on YOUR website!
First write cost equations based on given information
Let m be miles driven
Plan A:
cost = 36 + 0.22m
Plan B:
cost = 38
B will cost less if B cost is less that A cost:
38 < 36 + .22m
Solve for m
Subtract 36 on both sides
2 < .22m
Divide by 0.22 on both sides
9.09 < m
Therefore, If you drive more than 9 miles Plan B is cheaper

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