(03.03 MC) A mаrine biоlоgist is studying the grоwth of а pаrticular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months: f(m) = 5(1.07)m Part A: When the marine biologist concluded her study, the length of the fish was approximately 9.19 cm. What is a reasonable domain to plot the growth function? (4 points) Part B: What does the y-intercept of the graph of the function f(m) represent? (2 points) Part C: What is the average rate of change of the function f(m) from m = 1 to m = 9, and what does it represent? (4 points)
(03.02, 03.03, 03.04 MC) The аmоunt оf mоney in аn аccount may increase due to rising stock prices and decrease due to falling stock prices. Marco 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)