For what distance would the charge for both the car rental agencies described below be the same:A car rental agency rents out cars at a flat fee of $25, plus an additional 13 cents for each mile...

For what distance would the charge for both the car rental agencies described below be the same:

A car rental agency rents out cars at a flat fee of $25, plus an additional 13 cents for each mile that it is driven for. Another agency has only a per mile charge of 17 cents.

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

The first agency hasĀ  a flat charge of $25 and 13 cents per mile. The second only has a per mile charge which is 17 cents.

Let the distance that the car has to be driven for to make the amount charged by both the agencies the same be D.

This gives 25 + 0.13 D = 0.17 D

=> 25 = 0.04 D

=> D = 25/0.04

=> D = 625

When the car is driven for 625 miles the amount charged by both the agencies is the same.

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