Question

An airport limo service charges riders a fixed charge of $15 plus

Answer 1

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.