A couple wishes to rent a car for one day while on vacation. Ford Auto Rental wants $35.00 per day and 14¢ per mile, while Chevrolet-For-A-Day wants $34.00 per day and 16¢ per mile. After how many miles would the price to rent the Chevrolet exceed the price to rent a Ford?

3 answers

f=35+15m
c=34+16m

if c>f
34+16m>35+15m
subtract 34 from each side, then subtract 15m from each side.

m>1 so at 1.05 miles, the c exceeds the f.
Ford rental: cost = 35 + .14x, where x is the number of miles
Chevy rental: cost = 34 + .16x

when is 34 + .16x > 35 + .14x
.02x > 1
x > 1/.02
x > 50
Thanks Reiny