(03.02, 03.03, 03.04 MC) The amount of money in an account 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) = 9,628(0.92)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) 8,972 8,074.80 7,267.32 6,540.59 Which account recorded a greater percentage change in amount of money over the previous year? Justify your answer. (5 points)

(03.03 MC) A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days: f(n) = 10(1.02)n Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 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(n) represent? (2 points) Part C: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent? (4 points)

(03.08 HC) Belinda is thinking about buying a car for $38,000. The table below shows the projected value of two different cars for three years: Number of years 1 2 3 Car 1 (value in dollars) 32,000 26,000 20,000 Car 2 (value in dollars) 32,300 27,455 23,336.75 Part A: What type of function, linear or exponential, can be used to describe the value of each of the cars after a fixed number of years? Explain your answer. (2 points) Part B: Write one function for each car to describe the value of the car f(x), in dollars, after x years. (4 points) Part C: Belinda wants to purchase a car that would have the greatest value in five years. Will there be any significant difference in the value of either car after five years? Explain your answer, and show the value of each car after five years. (4 points)

(03.06 MC) Aurora is planning to participate in an event at her school’s field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station. The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task. (1, 2), (2, 4), (3, 8), (4, 16) Part A: Is this data modeling an arithmetic sequence or a geometric sequence? Explain your answer. (2 points) Part B: Use a recursive formula to determine the time she will complete station 5. Show your work. (4 points) Part C: Use an explicit formula to find the time she will complete the 10th station. Show your work. (4 points)

(03.06 MC) Aurora is planning to participate in an event at her school’s field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station. The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task. (1, 3), (2, 6), (3, 12), (4, 24) Part A: Is this data modeling an arithmetic sequence or a geometric sequence? Explain your answer. (2 points) Part B: Use a recursive formula to determine the time she will complete station 5. Show your work. (4 points) Part C: Use an explicit formula to find the time she will complete the 9th station. Show your work. (4 points)

(03.03 MC) Diana invested some money in a bank at a fixed rate of interest compounded annually. The equation below shows the value of her investment after x years: f(x) = 400(1.01)x What was the average rate of change of the value of Diana’s investment from the second year to the fifth year?

(03.02 LC) Which of the following is a function equivalent to f(x) = 3(1.7)4x?

(03.04 LC) When the function f(x) = 4(2)x is changed to f(x) = 4(2)x − 13, what is the effect?

(03.06 MC) Larry is using an online calculator to calculate the outputs f(n) for different inputs n. The ordered pairs below show Larry’s inputs and the corresponding outputs displayed by the calculator: (1, 5), (2, 9), (3, 13), (4, 17) Which of the following functions best represents the rule that the calculator uses to display the outputs?

(03.08 MC) The functions f(x) and g(x) in the table below show Jane’s and Mariah’s savings respectively, in dollars, after x days. Some values are missing in the table. x(years) 1 2 3 g(x) = 3xJane’s savings in dollars 3 9 f(x) = 3x + 3Mariah’s savings in dollars 6 9 Which statement best describes Jane’s and Mariah’s savings in the long run?