The gym offers a discount when more than one member of the family joins. the first member (n=0) pays $550 per year. the second member to join (n=1) gets a discount of $75 per year. the third member (n=2) gets an additional $75 discount. 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 that member would join for free? if so, which member would it be? explain your reasoning. c. other than $0, what is the lowest amount that a member would pay to join? which member would it be? explain your reasoning.