Question

I NEED HELP ASAP! : 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?

Answer 1

1. A) (the graph is in the growth direction)

2. B) 130% increase

3. D) f(x)= 175 (1.22)^x ; 473

4. C) 7 years

5. D) y= 110(0.9)^x

Hope this helps.

Answer 2

About 473 quails.

`P=175(1.22)^t`

Explanation:

Exponential equation with
`P_0` as the initial amount and rate of r is:

`P=P_0(1+r)^t`

`P=175(1+.22)^t`

`P=175(1.22)^t`

After 5 years the population will be:

`P=175(1.22)^5`

`P \approx 472.9739`

So the population will be about 473 quails.