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Algebra: Unit 5

Last updated 9 months ago
12 questions
1

Unit 5 – Item 1
The table below represents a certain type of cell reproduction by day. Write the exponential
equation that could be used to find out how many cells were produced on day 15, if the cell growth continues at this rate.

Unit 5 – Item 2
1

Which three options could be represented by an exponential function?

1

What function type would model the other 2 options?

Unit 5 – Item 3
A new car was purchased for $52,350. The value of the car depreciates at a rate of 5% per year.
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Create a function that models the depreciation of the car’s value, 𝑃, over time, 𝑑.

1

Complete the chart below.

Unit 5 – Item 4
1

Match the situation with the correct function.

1

Create 2 scenarios for growth and decay models. Consider population, bacteria, money for example. Make sure your functions make sense and could really happen.

Unit 5 - Item 5
A company purchases a new machine for $4,000. The value of the machine depreciates at a rate of 10 percent each year.
1

Create a formula showing the value (y) of the machine at the end of (x) years.

1

What is the machine worth after 4 years?

Unit 5 - Item 6
In cell reproduction, there are 2 cells present after day 1; 4 after day 2; 8 after day 3 and so on.
1

Write an exponential equation that could be used to find out how many cells there will be on the nth day.

How many cells will there be on the 20th day?

Unit 5 - Item 7
A laboratory is studying the growth of a bacterial culture. The number of bacteria 𝐡(𝑑) in the
culture after 𝑑 hours can be modeled by the exponential equation 𝐡(𝑑) = 100 βˆ™ 2𝑑
1

Calculate 𝐡(βˆ’2).

1

Does 𝐡(βˆ’2) mean anything to the context of the problem? Why or why not?