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?
The function that models the cost per share, C, with respect to the number of new contributors, n, is:
C = (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 can set C equal to 20 and solve for n:
20 = (500 / (5 + n))
Multiplying both sides by (5 + n), we get:
100 + 20n = 500
Subtracting 100 from both sides, we get:
20n = 400
Dividing both sides by 20, we get:
n = 20
Therefore, Jane must recruit 20 new contributors in order for the cost of each share to be $20.00.