Enter Population Growth Word Problem

  

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





What is the Answer?
Rounded to the nearest integer, our population is 37356
How does the Population Growth Calculator work?
Free Population Growth Calculator - Determines population growth based on an exponential growth model.
This calculator has 1 input.

What 1 formula is used for the Population Growth Calculator?

P(t) = P0(1 + p)t

For more math formulas, check out our Formula Dossier

What 4 concepts are covered in the Population Growth Calculator?

exponent
The power to raise a number
exponential
of or relating to an exponent
population
all the inhabitants of a particular town, area, or country.
population growth
Example calculations for the Population Growth Calculator
Population Growth Calculator Video

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