(03.08 HC) Belinda is thinking about buying a car for $45,0…
(03.08 HC) Belinda is thinking about buying a car for $45,000. 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) 40,500 36,450 32,805 Car 2 (value in dollars) 42,000 39,000 36,000 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 13 years. Will there be any significant difference in the value of either car after 13 years? Explain your answer, and show the value of each car after 13 years. (4 points)
Read Details(03.03 MC) A marine biologist is studying the growth of a p…
(03.03 MC) A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months: f(m) = 3(1.09)m Part A: When the marine biologist concluded her study, the length of the fish was approximately 5.98 cm. 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(m) represent? (2 points) Part C: What is the average rate of change of the function f(m) from m = 2 to m = 8, and what does it represent? (4 points)
Read Details(03.03 MC) A biologist is studying the growth of a particul…
(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)
Read Details(03.08 HC) Belinda is thinking about buying a car for $18,5…
(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)
Read Details(03.02, 03.03, 03.04 MC) The amount of money in an account…
(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)
Read Details(03.03 MC) A scientist is studying the growth of a particul…
(03.03 MC) A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days: f(n) = 10(1.02)n Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 cm. 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(n) represent? (2 points) Part C: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent? (4 points)
Read Details(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)
Read Details