Solve this population growth problem

atownhasapopulationof12000andgrowsat5%everyyear.whatwillbethepopulationafter12years

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 = 12000, p = 0.05, and t = 12

Since the population increases, we add p = 0.05

Using our given values, our population model is:

P(t) = 12000(1 + 0.05)t

P(t) = 12000(1.05)t

The problem asks for P(12)

P(12) = 12000(1.05)12

P(12) = 12000(1.7958563260221)

P(12) = 21550.275912266

Round our answer:

Rounded to the nearest integer, our population is 21550




What is the Answer?
Rounded to the nearest integer, our population is 21550
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
  1. A town has a population of 12000 and grows at 5% every year. What will be the population after 12 years?
  2. A town has a population of 100000 and grows at 7% every year. What will be the population after 19 years?
Population Growth Calculator Video

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