Question

An initial population of 745 quail increases at an annual rate of 16%. Write an exponential function to model the quail population. What will the approximate population be after 4 years?

Answer 1

v=1349

Explanation:

use v=a(1+g)t

v=745(1+.16)4

v=745(1.16)4

v=745(1.81063936

v=1349

Answer 2

Based on the given problem above, here are the given numbers.
Initial population = 745
Annual Rate =16%
V = approximate population
t = 4 years
The exponential function to model the quail population would be:
V = a(1 + g)t

To solve this problem, here is the solution:

V = 745(1 + .16)4
V = 745(1.16)4
V = 745(1.81063936)
V = 1349