SOLUTION: A soccer team is collecting money to buy their coach a present. The table represents the cost per person for the gift compared to the number of people contributing. What function m

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Question 625959: A soccer team is collecting money to buy their coach a present. The table represents the cost per person for the gift compared to the number of people contributing. What function models the data, and how much per person will it cost if all 40 players contribute?
Number of Players (n) 5 8 15 20
Cost per Player (c) $40 $25 $13 $10
A. nc = 400, $10
B. n/c = 100, $5
C. nc = 200, $5
D. n/c = 200, $20

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
For the situation, it makes sense that the total amount collected (with equal amounts given by all contributing) would be the number of players contributing times the amount given by each one.
So n times c would be the amount collected, which must be the price of the gift, so it is a constant. The function must be nc=constant. That tells you it must be choice A or choice C.

If you start multiplying the numbers in the table you will now the constant.
The easiest multiplication first:
10%2A20=200
Then, the function is nc=200
That tells you to chose answer C.

If not pressed for time in a test, you keep multiplying.
5%2A8=200
8%2A25=200
15%2A13=195
So the function is confirmed as nc=200.

If it was not multiple choice, you would have to solve
nc=200 with n=40 to find how much each person must give (c) if all 40 players contribute.
40c=200 --> 40c%2F40=200%2F40 --> highlight%28c=5%29