A rental car agency charges $240 per week plus $0.25 per mile to rent a car. The charge for a minivan is $180 per week plus $0.40 per mile. After how many miles is the total charge for each vehicle the same?

Question

Alfredo Andersen

Mathematics

14 May, 13:04

A rental car agency charges $240 per week plus $0.25 per mile to rent a car. The charge for a minivan is $180 per week plus $0.40 per mile. After how many miles is the total charge for each vehicle the same?

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Answers (1)

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Taryn Leblanc · Answer 1

The total charge on each vehicle will be the same at 400 miles

Step-by-step explanation:

In this question, we are tasked with calculating the number of miles in which we have the total charge for each of the two vehicles the same in value.

We proceed as follows;

Since the number of miles is projected to be same, let the number of miles we are looking for be x

For the first car, total charge is 240 + 0.25 (x)

For the second car 180 + 0.4 (x)

Now to get x, the costs will be the same, meaning we equate both to each other

240 + 0.25x = 180 + 0.4x

240-180 = 0.4x - 0.25x

60 = 0.15x

x = 60/0.15

x = 400 miles