show work ! The following functions give the populations of four towns with time / in years. (i) P = 600(1.12)t (li) P = 1,000(1.03) (ili) P = 200(1.08) (iv) P= 900(0.90)* (a) Which town has the largest percent growth rate? What is the percent growth rate? (b) Which town has the largest initial population? What is that initial population? (c) Are any of the towns decreasing in size? If so, which one(s)? 2. A town has a population of 1000 people at time 1 = 0. In each of the following cases, produce a formula for the population, P, of the town as a function of year t. (a) The population increases by 50 people a year. (b) The population increases by 5% a year