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(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, 4), (2, 8), (3, 16), (4, 32) 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 8th station. Show your work. (4 points)

(03.03 MC) A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days: f(d) = 11(1.01)d Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. 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(d) represent? (2 points) Part C: What is the average rate of change of the function f(d) from d = 2 to d = 7, and what does it represent? (4 points)

(03.06 MC) The first four terms of a sequence are shown below: 9, 5, 1, −3 Which of the following functions best defines this sequence?

(03.04 MC) Henry is taking a medicine for a common cold. The table below shows the amount of medicine f(t), in mg, that was present in Henry’s body after time t: t (hours) 1 2 3 4 5 f(t) (mg) 282 265.08 249.18 234.22 220.17 Greg was administered 200 mg of the same medicine. The amount of medicine in his body f(t) after time t is shown by the equation below: f(t) = 200(0.88)t Which statement best describes the rate at which Henry’s and Greg’s bodies eliminated the medicine?

(01.06 MC) A small plane flies 760,320 yards in 2 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represents time, to answer the following questions. Show your work. Part A: Rearrange the distance formula, d = rt, to solve for rate. (2 points) Part B: Find the plane’s rate in yards per hour. (3 points) Part C: Find the plane’s rate in miles per hour. (3 points) Part D: Which unit, yards, or miles, makes more sense to use in this scenario, and why? (2 points)

(01.03 MC) Zach and Ginny are building model cars. Ginny’s car is 2 more than 3 times the length of Zach’s car. The sum of the lengths of both cars is 30 inches. Write an equation to determine the lengths of Zach’s and Ginny’s cars.

(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?

(03.03 MC) The population of a species of fish in a river increased by a factor of 1.05 every day for the amount of days shown in the graph. The function shows the number of fish in the river f(x) after x days: f(x) = 100(1.05)x Which of the following is a reasonable domain for the function days 0 to 31?

(03.03 MC) Sophia 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) = 500(1.05)x What was the average rate of change of the value of Sophia’s investment from the second year to the fourth year?

(01.02 MC) Solve 8x − 2(x + 1) = 7x + 8