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

The function that models the cost per share, C, with respect to the number of new contributors, n, is:

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

To find out how many new contributors Jane must recruit in order for the cost of each share to be $20.00, we set C(n) equal to $20.00:

20 = 500 / (5 + n)

Solving for n:

20(5 + n) = 500
100 + 20n = 500
20n = 400
n = 20

Therefore, Jane must recruit 20 new contributors in order for the cost of each share to be $20.00.