Question

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

Exponential function model:
$f ( t ) = 175 *1.22 ^{t}$
After 5 years:  t = 5
f ( 5 ) = 175 * 1.22^5 = 175 * 2.70271 = 473
Answer : Approximate population after 5 years will be 473.

Answer 2

Answer: 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

Step-by-step explanation: 100% for quick check :)