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Math | Graded Assignment | Unit Test, Part 2 | Exponential and

Math | Graded Assignment | Unit Test, Part 2 | Exponential and Logarithmic Functions

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Graded Assignment

Unit Test, Part 2: Exponential and Logarithmic Functions

Answer the questions below. When you are finished, submit this test to your teacher for full credit.

Total score: ____ of 15 points

(Score for Question 1: ___ of 5 points)

The population of a town was 5655 in 2010. The population grows at a rate of 1.4% annually.

Use the exponential growth model to write an equation that estimates the population t years after 2010.

Estimate the population of the town in 2022. Show your work.

Answer:

(Score for Question 2: ___ of 5 points)

The formula determines the magnitude of an earthquake, where I is the intensity of the earthquake and S is the intensity of a “standard earthquake.” How many times stronger is an earthquake with a magnitude of 8 than an earthquake with a magnitude of 6? Show your work.

Answer:

(Score for Question 3: ___ of 5 points)

A savings account is started with an initial deposit of $500. The account earns 1.5% interest compounded annually.

Write an equation to represent the amount of money in the account as a function of time in years.

Find the amount of time it takes for the account balance to reach $800. Show your work.

Answer:

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