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

Algebra ->  Equations -> 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       Log On


   

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) About Me  (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

cost%5B450%5D = 185 + 7.50 *450/25 = 185 + 7.50*18 = $320