SOLUTION: a rental car agency charges $16 per day plus 10 cents per mile to rent a certain car. Another agency charges $18 per day plus 5 cents per mile to rent the same car. How many miles

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Question 164015: a rental car agency charges $16 per day plus 10 cents per mile to rent a certain car. Another agency charges $18 per day plus 5 cents per mile to rent the same car. How many miles will have to be driven for the cost of a car from the firts agency to equal the cost of a car of the second agency?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Let m = total miles driven
.
Cost formula of rental car agency 1:
C(m) = 16 + .10m
.
Cost formula of rental car agency 2:
C(m) = 18 + .05m
.
Set them equal to each other and solve for m:
16 + .10m = 18 + .05m
.10m = 2 + .05m
.05m = 2
m = 2/.05
m = 40 miles