Exponential Growth Practice

The Community Service Club hosts a charity walk each year. The following table shows the number of participants each year over the last few years. Write a rule that could model the projected attendance each year.

• y = 100(1000)^x

• y = 1000(100)^x

• y = 1000(1.1)^x

• y = 1000(0.1)^x

The number of bacteria in a colony is 235 cells at 10:00 am and the bacteria grows at a rate of 24% each hour. About how many bacteria will be present at 9:00 pm?

• 9,104 bacteria

• 2,020 bacteria

• 1,629 bacteria

• 2,504 bacteria

The population of penguins at Juneau National Park over can be estimated by the function f(x) = 250(1.035)^x. In how many years will they first expect to have over 500 penguins?

• 25 years

• 21 years

• 35 years

• 13 years

Choose the correct graph for the situation for problem #4.

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• growth

• increase

• decay

• decrease

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Katie and Jennifer are playing a game. Katie started the game with 100 points, and she's been doubling her score each round. Write an equation to model this situation.

• y = 2(101)^x

• y = 100(3)^x

• y = 100(2)^x

• y = 2(100)^x

Write an equation to model the function in the table.

• y = 1.25(320)^x

• y = 320(1.25)^x

• y = 320(80)^x

• y = 80(320)^x

Mark works for an investment firm as a sale representative. His annual salary over time can be modeled by the function f(x) = 60000(1.05)^x. Based on this rule, what is his current salary?

• $60,000

• $63,000

• $1.05

• $76,577