SOLUTION: Safety Rent-A-truck rents a truck at a daily rate of $41.95 plus $.29 per mile. City Rentals rents the same size truck for $38.95 plus $.31 per mile. For what mileage is the cost t

Algebra ->  Linear-equations -> SOLUTION: Safety Rent-A-truck rents a truck at a daily rate of $41.95 plus $.29 per mile. City Rentals rents the same size truck for $38.95 plus $.31 per mile. For what mileage is the cost t      Log On


   

Question 4849: Safety Rent-A-truck rents a truck at a daily rate of $41.95 plus $.29 per mile. City Rentals rents the same size truck for $38.95 plus $.31 per mile. For what mileage is the cost the same?
Answer by Abbey(339) About Me  (Show Source):
You can put this solution on YOUR website!
let x = the number of miles driven
safety rent-a-truck charges 41.95+.29x
City rental charges 38.95+.31x
we can set them equal to one another to determine the mileage that would make them cost the same price:
41.95+.29x=38.95+.31x
subtract.29x-38.95 from each side to get:
41.95-38.95=.02x
3=.02x
Divide both sides by .02
150=x
Check this by plugging it back into both equations:
41.95 + .29(150) = 85.45
38.95+.31(150)= 85.45
they equal one another, so the answer is 150 miles.