The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. emerson is studying the change in the amount of money in two accounts, a and b, over time. the amount f(x), in dollars, in account a after x years is represented by the function below: f(x) = 1,264(1.09)x part a: is the amount of money in account a increasing or decreasing and by what percentage per year? justify your answer. (5 points) part b: the table below shows the amount g(r), in dollars, of money in account b after r years. r (number of years) 1 2 3 4 g(r) (amount in dollars) 1,375 1,512.50 1,663.75 1,830.13 which account recorded a greater percentage change in amount of money over the previous year? justify your answer. (5 points)

Part a.we are given the function: f(x) = 1264 (1.09)^2the general form of a function in exponential growth isgiven as: f(x) = ao (1 + r)^nwhere r is the growth rate of the function. in this casethe r = 0.09 and since it is a positive value therefore the money is increasingby 9 % per year.part b.the function is still in the form of: f(x) = ao (1 + r)^nwhere ao is the initial value and n is the number ofyearssolve for r using any two data when n = 1, 1375 = ao (1 + r)^1ao = 1375 / (1 + r) when n = 2,1512.50 = ao (1 + r)^2ao = 1512.50 / (1 + r)^2 equating the two: 1375 / (1 + r) = 1512.50 / (1 + r)^21375 (1 + r)^2 = 1512.50 (1 + r)1375 (1 + r) = 1512.501 + r = 1.1r = 0.10 = growth rate of account b since account b has a rate of 10% compared to account awhich only has 9% per year, therefore b has greater increase in money per year. 

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