Jane is organizing a fundraiser to buy a ping-pong table for the community center. The table costs $500. Jane is asking contributors to pay for an equal share of the cost of the table. She already has 5 contributors lined up who have offered to pay for two shares each. What function models the cost per share, C, with respect to the number of new contributors, n? How many new contributors must Jane recruit in order for the cost of each share to be $20.00?

Question

Zain Cruz

Mathematics

30 August, 18:22

Jane is organizing a fundraiser to buy a ping-pong table for the community center. The table costs $500. Jane is asking contributors to pay for an equal share of the cost of the table. She already has 5 contributors lined up who have offered to pay for two shares each. What function models the cost per share, C, with respect to the number of new contributors, n? How many new contributors must Jane recruit in order for the cost of each share to be $20.00?

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Douglas Boyer · Answer 1

Well if each contributor pays an even cost, then C the cost per share is the same as total cost divided by the number of contributors : C = 500/n.

It is relatively irrelevant that she already has 5 contributors.

For the cost per share to be 20 we have

20 = 500/n So

n = 500/20 = 50/2 = 25 contributors.