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

There are two major tests of readiness for college: the act and the sat. act scores are reported on a scale from 1 to 36. the distribution of act scores in recent years has been roughly normal with mean µ = 20.9 and standard deviation s = 4.8. sat scores are reported on a scale from 400 to 1600. sat scores have been roughly normal with mean µ = 1026 and standard deviation s = 209. reports on a student's act or sat usually give the percentile as well as the actual score. the percentile is just the cumulative proportion stated as a percent: the percent of all scores that were lower than this one. tanya scores 1260 on the sat. what is her percentile (± 1)?