Charlie will rent a car for the weekend. He can choose one of two plans. The first plan has no initial fee but costs
$0.80
per mile driven. The second plan has an initial fee of
$55
and costs an additional
$0.60
per mile driven. How many miles would Charlie need to drive for the two plans to cost the same?

Question

Charlie will rent a car for the weekend. He can choose one of two plans. The first plan has no initial fee but costs 
$0.80
 per mile driven. The second plan has an initial fee of 
$55
 and costs an additional 
$0.60
 per mile driven. How many miles would Charlie need to drive for the two plans to cost the same?

will.h · Answer

okay so this is a linear equation business. The first we should do is form the equations.

The 1st plan equation would be: 0.80x where x is the miles driven. 

The second plan would be: 0.60x + 55

Now what you need to do is the plug any numbers in both equations instead of x. and when both equations get the same answer after substituting. that would be the number of miles that would equal both equations to be the same.

Hope that helps