### Assignment Instructions/ Description

Image transcription textQuestion 1 (Essay Worth 10 points)

(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)

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FEEVC... Show moreImage transcription textQuestion 2 (Essay Worth 10 points)

(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) = 12500(0.82)*

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

f(t) (price in dollars) 5600 3136 1756.16 983.45

Which product recorded a greater percentage change in price over the previous year? Justify your answer. (5 points)

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FEEVC... Show moreImage transcription textQuestion 3 (Essay Worth 10 points)

(03.05 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

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)... Show moreImage transcription textQuestion 4 (Essay Worth 10 points)

(03.05 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 a linear function or an exponential function? Explain your answer. (2 points)

Part B: Write a function to represent the data. Show your work. (4 points)

Part C: Determine the average rate of change between station 2 and station 4. Show your work. (4 points)... Show morepls helpGive short responses to each question if possible