Alyssa is an ecologist who studies the change in the fox population of the Arctic circle over 5 time. She observed that the population gains of its size every 5.1 years. The population of 9. foxes can be modeled by a function P, which depends on the amount of time, t (in years). When Alyssa began the study, she observed that there were 9, 100 foxes in the Arctic circle. Write a function P (t) that models the population of the foxes t years since the beginning of Alyssa's study.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
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Alyssa is an ecologist who studies the change in the fox population of the Arctic circle over
time. She observed that the population gains
of its size every 5.1 years. The population of
9.
foxes can be modeled by a function P, which depends on the amount of time, t (in years).
When Alyssa began the study, she observed that there were 9, 100 foxes in the Arctic circle.
Write a function P (t) that models the population of the foxes t years since the beginning
of Alyssa's study.
Transcribed Image Text:Alyssa is an ecologist who studies the change in the fox population of the Arctic circle over time. She observed that the population gains of its size every 5.1 years. The population of 9. foxes can be modeled by a function P, which depends on the amount of time, t (in years). When Alyssa began the study, she observed that there were 9, 100 foxes in the Arctic circle. Write a function P (t) that models the population of the foxes t years since the beginning of Alyssa's study.
Expert Solution
Step 1

Given,

The population gains 59 of its size of every 5.1 years.

The decimal form is, 59=0.5556

The percentage of 0.5556 is 55.56% gains of every 5.1 years.

Therefore, 100 + 55.56 = 155.56%

The decimal form is, 1.5556(4 decimals)

Now the equation for exponential modeled form will be:

P(t)=C*Itn

 

 

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