(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?

(03.02 LC) Which of the following is a function equivalent to f(x) = 4(1.8)2x?

(03.02 LC) Which of the following is a function equivalent to f(x) = 5(1.9)3x?

(03.06 MC) Malia is using an online calculator to calculate the outputs f(n) for different inputs n. The ordered pairs below show Malia’s inputs and the corresponding outputs displayed by the calculator: (1, 4), (2, 9), (3, 14), (4, 19) Which of the following functions best represents the rule that the calculator uses to display the outputs?