SOLUTION: A delivery van has a fixed charge for the first mile of travel and has a fixed charge per mile for each subsequent mile. If a 6-mile trip costs $6.90 and an 11-mile trip costs 11.

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Question 515498: A delivery van has a fixed charge for the first mile of travel and has a fixed charge per mile for each subsequent mile. If a 6-mile trip costs $6.90 and an 11-mile trip costs 11.40, what is the fixed charge for the first mile?
Answer by mucklef(9) About Me  (Show Source):
You can put this solution on YOUR website!
Lets break this down into parts. The difference between 11m and 6m is:
$11.40 - $6.90 = $4.50
11m - 6m = 5m
$4.50 / 5m = $.90 per mile
From then on it is simple.
6m - 1m = 5m
5m x $.90 = $4.50
$6.90 - $4.50 = $2.40
There is your answer. The fixed charge for the first mile is $2.40. Just to be sure, lets double check.
11m - 1m = 10m
10m x $.90 = $9.00
$9.00 + $2.40 = $11.40
It works. The fixed charge for the first mile is $2.40.
Hope this helped. All the best,
-mucklef