(03.08 HC) Belinda wants to invest $1,000. The table below…

(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)

(03.02, 03.03, 03.04 MC) The price of products may increase…

(03.02, 03.03, 03.04 MC) The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price of two products, A and B, over time. The price f(x), in dollars, of product A after x years is represented by the function below: f(x) = 72(1.25)x Part A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer. (5 points) Part B: The table below shows the price f(t), in dollars, of product B after t years: t (number of years) 1 2 3 4 f(t) (price in dollars) 65 84.5 109.85 142.81 Which product recorded a greater percentage change in price over the previous year? Justify your answer. (5 points)

(03.06 MC) Aurora is planning to participate in an event at…

(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)

(03.08 HC) Belinda is thinking about buying a car for $38,0…

(03.08 HC) Belinda is thinking about buying a car for $38,000. 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) 32,000 26,000 20,000 Car 2 (value in dollars) 32,300 27,455 23,336.75 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 five years. Will there be any significant difference in the value of either car after five years? Explain your answer, and show the value of each car after five years. (4 points)