Solve this population growth problem
thepopulationofwestportwas43000hassteadilydecreasedby1%for14years
Population Growth Logic
We model our population growth equation, P(t) using the following variables:
P0 as our initial population, p as our percent growth, and t as the units of time.
Our Population Growth Formula is:
P(t) = P0(1 + p)t
We are given the following values:
P0 = 43000, p = -0.01, and t = 14
Since the population decreases, we subtract p = -0.01
Using our given values, our population model is:
P(t) = 43000(1 - 0.01)t
P(t) = 43000(0.99)t
The problem asks for P(14)
P(14) = 43000(0.99)14
P(14) = 43000(0.86874581276898)
P(14) = 37356.069949066
Round our answer:
Rounded to the nearest integer, our population is 37356
