SOLUTION: A rental car company offers two rental plans, Plan A and Plan B, for the same economy size car. For both plans, the total rental cost, ƒ(m) is a function of the number of miles, m,

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A rental car company offers two rental plans, Plan A and Plan B, for the same economy size car. For both plans, the total rental cost, ƒ(m) is a function of the number of miles, m,      Log On

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Question 1101041: A rental car company offers two rental plans, Plan A and Plan B, for the same economy size car. For both plans, the total rental cost, ƒ(m) is a function of the number of miles, m, that the car is driven. In addition to a flat fee of $75, Plan A offers a rate of $0.20 per mile for an unlimited number of miles. Plan B offers a higher mileage rate of $0.35 per mile but does not charge a flat fee for the rental.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You didn't ask any question. Usually
the question is: " At what value of +m+
are the costs of A and B equal?
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Plan A:
(1) +f%28m%29+=+.2m+%2B+75+
Plan B:
(2) +f%28m%29+=+.35m+
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Set (1) = (2)
+.2m+%2B+75+=+.35m+
+.15m+=+75+
+m+=+500+
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After driving 500 miles, the costs of
the 2 plans are the same
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check:
(2) +f%28500%29+=+.35%2A500+
(2) +f%28500%29+=+175+
and
(1) +f%28500%29+=+.2%2A500+%2B+75+
(1) +f%28500%29+=+100+%2B+75+
(1) +f%28500%29+=+175+
OK