atownhasapopulationof100000andgrowsat7%everyyear.whatwillbethepopulati
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 growthExample calculations for the Population Growth Calculator
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