SOLUTION: A car rental company charges a daily rental fee plus a per mile fee over 150 miles. Two different people rent the same style of car for the same number of days. The total bill fo

Algebra ->  Finance -> SOLUTION: A car rental company charges a daily rental fee plus a per mile fee over 150 miles. Two different people rent the same style of car for the same number of days. The total bill fo      Log On


   



Question 372802: A car rental company charges a daily rental fee plus a per mile fee over 150 miles. Two different people rent the same style of car for the same number of days. The total bill for one persons rental is $207.50 for a 5-day rental and 180 miles. The total bill for the other persons rental is $212.50 for a 5-day rental and 200 miles.
I need to write a linear system that I can use to find the daily rental fee and the per mile fee over 150 miles.

Found 2 solutions by kac123kac, josmiceli:
Answer by kac123kac(8) About Me  (Show Source):
You can put this solution on YOUR website!
$40/day with a $0.25 charge per mile over.
$40x5 days=$200
$7.5/30 extra miles = $0.25

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let d = daily rental fee
Let f = the per mile fee over 150 miles
given:
Person 1: cost of daily rental = 5d
Person 2: cost of daily rental = 5d
Person 1: per mile fee over 150 miles = %28180+-+150%29%2Af+=+30f
Person 2: per mile fee over 150 miles = %28200+-+150%29%2Af+=+50f
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5d+%2B+30f+=+207.5
5d+%2B+50f+=+212.5
Multiply both sides of each equation by 2
10d+%2B+60f+=+415
10d+%2B+100f+=+425
Divide both sides of each equation by 5
2d+%2B+12f+=+83
2d+%2B+20f+=+85