SOLUTION: The cost of sending the school’s basketball team to a tournament is a fixed entrance fee, plus cost per student. If 10 players cost $240 and 15 payers cost $315. What is the cost p

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The cost of sending the school’s basketball team to a tournament is a fixed entrance fee, plus cost per student. If 10 players cost $240 and 15 payers cost $315. What is the cost p      Log On


   

Question 1107123: The cost of sending the school’s basketball team to a tournament is a fixed entrance fee, plus cost per student. If 10 players cost $240 and 15 payers cost $315. What is the cost per student?
Found 2 solutions by addingup, josgarithmetic:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
240 - 10x = 315 - 15x
5x = 75
x = 15
The admission cost per student, whether 1 student or 15, is 15.
The fixed cost is:
240 - 10(15) = 90
Of course, the fixed cost is the same for 15 players:
315 - 15(15) = 90

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Two points that fit on a line:
(10,240) and (15,315).
Find equation in slope-intercept form, and the y-intercept will be the fixed fee.

All you really need for the cost per student is the slope.
%28315-240%29%2F%2815-10%29