SOLUTION: 33.) A rental car agency charges $13 per day plus 8 cents per mile to rent a certain car. Another agency charges $16 per day plus 6 cents per mile to rent the same car. How many mi

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 33.) A rental car agency charges $13 per day plus 8 cents per mile to rent a certain car. Another agency charges $16 per day plus 6 cents per mile to rent the same car. How many mi      Log On

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Question 149849: 33.) A rental car agency charges $13 per day plus 8 cents per mile to rent a certain car. Another agency charges $16 per day plus 6 cents per mile to rent the same car. How many miles per day will have to be driven for the cost of a car from the first agency to equal the cot of a car from the second agency?
I need help figuring which one is my answer and how to set up the equatioin:
[A] 145 miles per day
[B] 1500 miles per day
[C] 150 miles per day
[D] 1450 miles per day
Answer by nerdybill(6951) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x = miles driven on a single day
.
rental agency #1 (cost per day):
13 + .08x
.
rental agency #2 (cost per day):
16 + .06x
.
13 + .08x = 16 + .06x
.08x = 3 + .06x
.02x = 3
x = 3/.02
x = 150 miles