atownhasapopulationof100000andgrowsat7%everyyear.whatwillbethepopulati

Publish date: 2024-06-15
atownhasapopulationof100000andgrowsat7%everyyear.whatwillbethepopulati MathCelebrity logo Image to Crop Enter Population Growth Word Problem

Solve this population growth problem

atownhasapopulationof100000andgrowsat7%everyyear.whatwillbethepopulationafter19years

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 = 100000, p = 0.07, and t = 19

Since the population increases, we add p = 0.07

Using our given values, our population model is:

P(t) = 100000(1 + 0.07)t

P(t) = 100000(1.07)t

The problem asks for P(19)

P(19) = 100000(1.07)19

P(19) = 100000(3.6165275350338)

P(19) = 361652.75350338

Round our answer:

Rounded to the nearest integer, our population is 361653

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What is the Answer?

Rounded to the nearest integer, our population is 361653

How does the Population Growth Calculator work?

Free Population Growth Calculator - Determines population growth based on an exponential growth model.
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What 1 formula is used for the Population Growth Calculator?

What 4 concepts are covered in the Population Growth Calculator?

exponentThe power to raise a numberexponentialof or relating to an exponentpopulationall the inhabitants of a particular town, area, or country.population growth

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