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A truck can be rented from Company A for ​$90 a day plus ​$0.20 per mile. Company B charges ​$30 a day plus ​$0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Sagot :

rspill6

Answer:  150 miles

Step-by-step explanation:

Let A stand for Company A's Total Price, and B for Company B.  Let x be the number of miles driven.

A = $90 + ($0.20/mile)*x

B = $30 + ($0.60/mile)*x

We want to know for what x does A = B

$90 + ($0.20/mile)*x = $30 + ($0.60/mile)*x

$60 + ($0.20/mile)*x - ($0.60/mile)*x = 0

$60 + x*($0.20/mile) - ($0.60/mile)) = 0

$60 + x*(- ($0.40/mile)) = 0

x*(- ($0.40/mile)) = -$60

x = -$60/(-$0.40/mile)

x = 150 miles

Company A, 1 day, 150 miles = $120

Company B, 1 day, 150 miles = $120

At 150 miles, and just 1 day, both companies will charge a total of $120 for the rental.

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