SOLUTION: A car rental cost $90 a day for the first 270 miles, plus $0.20 for each additional mile. if Sonya rental cost was $128 for a one day rental, how many miles did she drive?

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Question 1071131: A car rental cost $90 a day for the first 270 miles, plus $0.20 for each additional mile. if Sonya rental cost was $128 for a one day rental, how many miles did she drive?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y=0%2Ax%2B90, for x%3C=270


Sonya had cost of rental, $128 which is MORE than 90 dollars, and for miles MORE than 270.

128-90=38%2Adollars beyond $90.

38%2Adollars%2A%281%2F0.2%29%28miles%2Fdollar%29=38%2A5%2Amiles=highlight%28190%2Amiles%29.
---not yet the full answer...

Already did 270 allowed miles, and then did the 190 more miles.
highlight%28270%2B190=highlight%28460%29%29, total miles.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

A car rental cost $90 a day for the first 270 miles, plus $0.20 for each additional mile. if Sonya rental cost was $128 for a one day rental, how many miles did she drive?
Cost equation: C%28m%29+=+.2m+%2B+36, where:

C(m) = Cost of daily rental, based on "m" miles

   m = Amount of MILES driven for the day

Substituting 128 for C(m), we find that the total amount of miles driven on that day was: highlight_green%28460%29