Question 206985: A truck can be rented from Basic Rental for $50 per day plus $0.20 per mile. Roadrunners charges $20 per day plus $0.50 per mile to rent the same truck. How many miles must be driven in a day to make the rental cost for Basic Rental a better deal than that for Roadrunners?
Found 2 solutions by rfer, MathTherapy:
Answer by rfer(16322)   (Show Source):
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website! Since Basic Rental charges $50, plus $0.20 per mile, and since Roadrunners
charges $20, plus $0.50, per mile, then in order for Basic Rental to have a
better rental deal than Roadrunners, we'll have:
50 + .2(m) < 20 + .5(m) (using m for amount of miles)
50 + .2m < 20 + .5m
-.3m < - 30
 ------> m > 100
Therefore, in order for Basic Rental to have a better deal than Roadrunners,
the renter has to rent for MORE THAN  miles
Check:
Since m > 100, we'll use value of 101
50 + .2(101) < 20 + .5(101)
50 + 20.20 < 20 + 50.50
70.20 < 70.50
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