SOLUTION: The total cost of a car rental is the sum of (1) A basic fixed rental charge for the car; and (2) An additional charge for every 25 miles traveled. If the total cost to rent

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Question 392614: The total cost of a car rental is the sum of
(1) A basic fixed rental charge for the car; and
(2) An additional charge for every 25 miles traveled.

If the total cost to rent a car and drive it 50 miles is $200 and the total cost to rent a car and drive it 200 miles is $245, what is the total cost, in dollars to rent a car and travel 450 miles?

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Let x represent base cost and y the charge per 25mi
Question states***
b + (50/25)y = 200
b + (200/25)y = 245 |Subtracting first equation from second
b + 8y = 245
-b - 2y = -200
6y = 45
y = $7.50, the charge per 25mi

b + 7.50*2 = 200
b = 200 -15
b = $185
Cost = 185 + 7.50/25mi
= 185 + 7.50 *450/25 = 185 + 7.50*18 = $320
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