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An initial population of 175 quail increases at an annual rate of 22%.

Write an exponential function to model the quail population.

What will the approximate population be after 5 years?

A. [tex]f(x) = 175(0.22)^x[/tex]; 473

B. [tex]f(x) = (175 \cdot 0.22)^x[/tex]; 84,587,005

C. [tex]f(x) = 175(22)^x[/tex]; 901,885,600

D. [tex]f(x) = 175(1.22)^x[/tex]; 473

Answer :

Final answer:

An initial population of 175 quail increases at an annual rate of 22%. The estimated population after 5 years is approximately 473 quails.


Explanation:

To model the quail population, we can use the exponential function:

f(x) = 175 × (1.22)x

where x represents the number of years.

To find the approximate population after 5 years, we can substitute x = 5 into the function:

f(5) = 175 × (1.22)5

By calculating this, we get an approximate population of 473 quails after 5 years.


Learn more about Exponential growth here:

https://brainly.com/question/12490064

Answer: D) f(x) = 175(1.22)^x; 473

Answer: D) f(x) = 175(1.22)^x; 473

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