SOLUTION: A car rental agency charges a flat fee plus an additional charge per kilometer. Chace drove a rental vehicle for 270km and was charged $46.80. Jennifer drove 480 km in a similar ve

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A car rental agency charges a flat fee plus an additional charge per kilometer. Chace drove a rental vehicle for 270km and was charged $46.80. Jennifer drove 480 km in a similar ve      Log On


   

Question 1105296: A car rental agency charges a flat fee plus an additional charge per kilometer. Chace drove a rental vehicle for 270km and was charged $46.80. Jennifer drove 480 km in a similar vehicle from the same agency and was charged $65.70. Determine the flat fee and the charge per kilometer.
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
f + 270r = 46.80    (1)
f + 480r = 65.70    (2)

-------------------------Subtract eq(1) from eq(2):

    210r =  18.90  ====>  30r = 18.90%2F7 = $2.70 per 30 kilometers is the additional charge per 30 kilometers.


Then flat fee is f = 46.80 - 9*2.70 = 22.50 dollars.

Solved.