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Question

Jane is organizing a fundraiser to buy a ping-pong table for the community center. The table costs $500.00. Jane is asking contributors to pay for an equal share of the cost of the table. She already has five contributors lined up. 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?

Answer 1

500/20 = 25 = contributors total needed

n = 25-5 = 20 new contributors are needed. 25 total x $20 = $500

Cost per share =

C(n) = 500/(5+n)

20 = 500/(5+n)

5+n = 500/20 = 25

n+5 = 25

n=25-5 = 20

n = 20