Sean intends to collect $500 in individual donations for a charity. His company will contribute $2 for every donation collected. Write and graph an equation that gives the average amounta (including the company contribution) that the charity will receive per individual donation as a function of the number d of donations.

Answer 1

If there are d donations totalling m dollars, then the charity receives

t = 2d+m

that means the average is

a = (2d+m)/d = 2+m/d

If the total of donations is exactly 500 as desired, then

a(d) = 2 + 500/d