Blog

(03.08 HC) Belinda is thinking about buying a car for $18,500. 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) 17,390 16,346.60 15,365.80 Car 2 (value in dollars) 17,500 16,500 15,500 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 nine years. Will there be any significant difference in the value of either car after nine years? Explain your answer, and show the value of each car after nine years. (4 points)

(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)

(03.01 MC) An expression is shown below: Which statement is true about the expression?

(03.04 LC) When the function f(x) = 6(9)x is changed to f(x) = 6(9)x + 1, what is the effect?

(03.02 LC) The function below represents the interest Larissa earns on an investment. Identify the term that represents the amount of money originally invested. f(x) = 7,000(1 + 0.03)x

Who do you want to see in office?

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

(03.08 MC) The same amount of trash from a landfill is recycled every day. The function below shows the total number of tons of trash n left in the landfill after x days. Assume that new trash is not added to the landfill. n = 50000 − 1000x What does the number 1,000 represent?

(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)