The gym offers a discount when more than one member of the family joins. the first member ( n=10) pays $550 per year. the second member to join (n=1) get discount of $75 per yar. the third member (n=2) gets an additional $75. the price for the nth member is given by 550+(-75n)
a. what is the price for the fourth member to join (n=3)
b. for a large family, is it possible for a member to would join free? if so, which member would it be? explain you reasoning
c. other than $0, what is the lowest amount that member would pay to join? which member would it be? explain your reasoning