(03.08 HC) Belinda wants to invest $1,000. The table below shows the value of her investment under two different options for three different years: Number of years 1 2 3 Option 1 (amount in dollars) 1300 1690 2197 Option 2 (amount in dollars) 1300 1600 1900 Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2? Explain your answer. (2 points) Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years. (4 points) Part C: Belinda wants to invest in an option that would help to increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Belinda’s investment after 20 years if she uses option 2 over option 1? Explain your answer, and show the investment value after 20 years for each option. (4 points)

(01.03 HC) Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation to represent this situation. (4 points) Part B: Scarlett made a profit of $250.00 with her mobile car wash company. She charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car wash. Write an equation to represent this situation. (4 points) Part C: Explain how the equations from Part A and Part B differ. (2 points)

(03.04 LC) When the function f(x) = 3(5)x is changed to f(x) = 3(5)x + 22, what is the effect?

(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?

(03.08 MC) The functions f(x) and g(x) in the table below show Kim’s and Ben’s savings respectively, in dollars, after x days. Some values are missing in the table. x(years) 1 2 3 g(x) = 3xKim’s savings in dollars 3 9 f(x) = 3x + 5Ben’s savings in dollars 8 11 Which statement best describes Kim’s and Ben’s savings in the long run?

What feedback should you give children after they solve a puzzle correctly, if you do not want them to give up when they encounter a more difficult puzzle later on?

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

(03.04 MC) Clara is taking a medicine for a common cold. The table below shows the amount of medicine f(t), in mg, that was present in Clara’s body after time t: t (hours) 1 2 3 4 5 f(t) (mg) 236.5 223.73 211.65 200.22 189.41 Heidi was administered 300 mg of the same medicine. The amount of medicine in her body f(t) after time t is shown by the equation below: f(t) = 300(0.946)t Which statement best describes the rate at which Clara’s and Heidi’s bodies eliminated the medicine?

(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?

(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)