The population (in thousands) after t years of Alphaville is given by the function a(t), and the population (in thousands) of Betatown after t years is given by b(t): a(t) = 3.7 x 1.072 b(t) 2.4 x 0.964' (a) Find the initial (i.e. "year zero") population of each town. (b) One town has an increasing population and one town has a decreasing population. Which is which? Explain in a sentence how you know. (c) For each town, what is the percent increase or decrease for the population each year?