The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. mason 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) = 10,125(1.83)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) 9,638 18,794.10 36,648.50 71,464.58 which account recorded a greater percentage change in amount of money over the previous year? justify your answer. (5 points)

a) the year-on-year multiplier is the base of the exponential, 1.83. since it is greater than 1, the amount of money in account a is increasing. the percentage increase is (1.83 - 1)×100% = 83%.

b) we don't know which pair of entries in the table refers to the current and previous years. if we assume they are the last two, the percentage increase is

(71,464.58/36,648.50 -1)×100% ≈ 95%

95% is larger than 83%, so account b recorded the greater percentage change.

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what i would say the best answer is a. 40.5