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?

step by step?

Question

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?

step by step?

anonymous · Answer

50 + 0.2x = 20 + 0.5x

Solve for x.

saifoo.khan · Answer

righto!^

anonymous · Answer

30 < .3x
100 < x or x > 100

You would need to drive over 100 miles per day to make Basic a better deal.  You can easily check the answer by taking a number lower than 100 and inserting it for x and a number higher than 100 (and 100 if you want to confirm that the prices are = at that amt).

anonymous · Answer

so would x=9?

anonymous · Answer

50+.20X<20+.50X
.20X-.50X<20-50
-.30X<-30
X>-30/-.30 NOTE: THE SIGN CHANGES WHEN DIVIDING BY A NEGATIVE VALUE

anonymous · Answer

X>100 GREATER THAN 100 MILES DRIVEN MAKES THE BASIC RENTAL OFFER A BETTER DEAL.
PROOF:
50+.20*100<20+.50*100
50+20<20+50
70<70

anonymous · Answer

ok got it thanks...

anonymous · Answer

Glad to help