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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


You have 2 free calculationss remaining



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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