Question

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 five 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?

Answer 1

Answer:

Step-by-step explanation:

let the cost per share be C, and the number of new contributors be n

five contributors have offered to pay for two shares each so they represent 10 shares

total shares = 10 + n

total cost = C*(10 + n)

= cost of the table = 500

so the function is C*(10 + n) = 500

if each share is $20, C=20

20*(10 + n)=500

10 + n = 25

n = 15

15 new contributors are needed