SOLUTION: 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 driv

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: 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 driv      Log On


   

Question 206987: 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?

Answer by checkley77(12844) About Me  (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 changes to a > sign when diving by a negative value.)
x>100 miles is the break even point.
Proof:
Let x=101 miles.
50+.20*101<20+.50*101
50+20.2<20+50.5
70.2<70.5.