(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)

Obese people have approximately ________ fat cells as normal-weight people.

(01.03 HC) Part A: Sydney made $18.50 selling lemonade, by the cup, at her yard sale. She sold each cup for $0.50 and received a $3 tip from a neighbor. Write an equation to represent this situation. (4 points) Part B: Daria made a profit of $21.00 selling lemonade. She sold her lemonade for $0.75 per cup, received a tip of $3 from a neighbor, but also had to buy each plastic cup she used for $0.10 per cup. Write an equation to represent this situation. (4 points) Part C: Explain how the equations from Part A and Part B differ. (2 points)