SOLUTION: Martina is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices. Company A has no initial fee but charges $0.90 fo

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Martina is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices. Company A has no initial fee but charges $0.90 fo      Log On


   

Question 293644: Martina is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A has no initial fee but charges $0.90 for every mile driven.
Company B charges an initial fee of $55 and an additional $0.40 for every mile driven.

For what mileages will Company A charge more than Company B?
Use m for the number of miles driven, and solve your inequality for m.
Answer by brucewill(101) About Me  (Show Source):
You can put this solution on YOUR website!
I'll just equate the two:
.9m = 55 + .4m
.5m = 55
m = 110
To Check:
.9 * 110 = 99 (Company A)
.4 * 110 + 55 = 99 (Company B)
Therefore, anything over 99 miles would be where Company A is more expensive.