SOLUTION: A Carrie the Caterer's total cost for catering a party includes a fixed cost, which is the same for every party. In addition the Carrie charges a certain amount for each guest. If

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A Carrie the Caterer's total cost for catering a party includes a fixed cost, which is the same for every party. In addition the Carrie charges a certain amount for each guest. If       Log On


   

Question 920347: A Carrie the Caterer's total cost for catering a party includes a fixed cost, which is the same for every party. In addition the Carrie charges a certain amount for each guest. If it costs $300 to serve 25 guests and $420 to serve 40 guests, find the fixed cost and the cost per guest.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
(40,420)
(25,300) m =%28y%5B1%5D+-+y%5B2%5D%29%2F%28x%5B1%5D+-+x%5B2%5D+%29 = 120/15 = 8
***Using point-slope form, y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29P(25,300)
y- 300 = 8(x-25)
y = 8x + 200
fixed cost: $200
cost per guest: $8