SOLUTION: The fox population in a certain region has an annual growth rate of 6% per year. In the year 2012, there were 23710 foxes counted in the area. Write a function, f(t), that mod

Algebra ->  Functions -> SOLUTION: The fox population in a certain region has an annual growth rate of 6% per year. In the year 2012, there were 23710 foxes counted in the area. Write a function, f(t), that mod      Log On


   



Question 1186684: The fox population in a certain region has an annual growth rate of 6% per year. In the year 2012, there were 23710 foxes counted in the area.

Write a function, f(t), that models the number of foxes in the population at t years after 2012. Assume a continuous growth rate.
What is the fox population predicted to be in 2020?

Answer by ikleyn(52855) About Me  (Show Source):
You can put this solution on YOUR website!
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The fox population in a certain region has an annual growth rate of 6% per year.
In the year 2012, there were 23710 foxes counted in the area.
Write a function, f(t), that models the number of foxes in the population at t years after 2012.
Assume a continuous growth rate.
What is the fox population predicted to be in 2020?
~~~~~~~~~~~~~~~

The requested function is 

    f(t) = 23710%2A%281%2B0.06%29%5Et = 23710%2A1.06%5Et,

where t is the number of years after 2012.



The fox population in 2020, 8 years after 2012 is

    23710%2A1.06%5E8 = 37790   (approximately).    ANSWER

Solved.

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If you want to see many other similar and different solved problems on population growth,  look into the lesson
    - Population growth problems
in this site.


Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic "Logarithms".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.