Erin is organizing a fundraiser to purchase an air hockey table for her school. The table costs $900.00. Erin is asking for people to contribute to pay an equal share of the cost of the table. She already has seven contributors signed up.
a) Write a function that models the cost per share, C, with respect to the number of new contributors, p. (1 point)
b) How many new contributors must Erin recruit in order for the cost of each share to be $50? (2 points)
a) The function that models the cost per share, C, with respect to the number of new contributors, p, is:
C(p) = 900 / (7 + p)
b) To find out how many new contributors Erin must recruit in order for the cost of each share to be $50, we set up the equation:
50 = 900 / (7 + p)
Solving for p:
50(7 + p) = 900
350 + 50p = 900
50p = 550
p = 11
Therefore, Erin must recruit 11 new contributors in order for the cost of each share to be $50.