SOLUTION: The cost of renting a moving van for a 26 mile trip is $62.50. The cost of renting the same van for a 38 mile trip is $65.50. The cost changes at a constant rate with respect to th

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Question 1111827: The cost of renting a moving van for a 26 mile trip is $62.50. The cost of renting the same van for a 38 mile trip is $65.50. The cost changes at a constant rate with respect to the length in miles of the trip. Find the total cost of renting the van for a 54 mile trip.
*sorry for posting the problem with the wrong data yesterday :<

Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
Your description gives two data points of x for distance and y for cost:
(26, 62.5) and (38, 65.5).

Now you can determine the equation of the line which goes through the two points.

Starting in the point-slope form and choosing the first ordered pair point:

Simplify this equation.

After that, just substitute x=54 to find corresponding y, cost for 54 miles.

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