SOLUTION: Rachel will rent a car for the weekend. She can choose one of the two plans. The first plan has an initial fee of $48 and costs an additional $0.16 per mile driven. The second plan
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Question 1172096: Rachel will rent a car for the weekend. She can choose one of the two plans. The first plan has an initial fee of $48 and costs an additional $0.16 per mile driven. The second plan has an initial fee of $57 and costs an additional $0.14 per mile driven.
For what amount of driving do the two plans cost the same?
What is the cost when the two plans cost the same? Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! plan 1 cost = 48 + .16 * x
plan 2 cost = 57 + .14 * x
x is the number of miles.
plan 1 cost will be the same as plan 2 cost when:
48 + .16 * x = 57 + .14 * x
subtract .14 * x from both sides of the equation and subtract 48 from both sides of the equation to get:
.16 * x - .14 * x = 57 - 48
combine like terms to get:
.02 * x = 9
divide both sides of the equation by .02 to get:
x = 9 / .02 = 450
the two plans should break even at 450 miles driven.
at 450 miles driven,.....
plan 1 cost = 48 + .16 * 450 = 120.
plan 2 cost = 57 + .14 * 450 = 120.
your solution is:
the plans will cost the same when 450 miles have been driven.
the cost when both plans cost the same is 120 collars.
