Mathematics: An airport limo service charges riders a fixed charge of $15 plus $4.00 per mile. How many miles must a rider go to have an average cost per mile of $4.60?

BStep-by-step explanation:cus thats the formula...

An airport limo service charges riders a fixed charge

smkw04p3ao0n

11.02.2022

Given:

An airport limo service charges riders a fixed charge of $15 plus $4.00 per mile.

To find:

Distance in miles must a rider go to have an average cost per mile of $4.60.

Solution:

Let x be the number of miles the rider travel.

Total charges = Fixed charges + Variable charges

According to the question,

Fixed charges = $15

Variable charges = $4x

So, total charges

T=15+4x

Divide the total charges by number of miles to get the cost per mile.

$\text{Cost per mile}=\dfrac{15+4x}{x}$

Average cost per mile is $4.60.

$4.60=\dfrac{15+4x}{x}$

4.60x=15+4x

4.60x-4x=15

0.60x=15

Divide both sides by 0.60.

$x=\dfrac{15}{0.60}$

x=25

Therefore, the required number of miles is 25.

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