Solve this population growth problem
acityhasapopulationof260000people.supposethateachyearthepopulationgrowsby8.75%.whatwillthepopulationbeafter12years?usethecalculatorprovidedandroundyouranswertothenearestwholenumber
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 = 260000, p = 0.0875, and t = 12
Since the population increases, we add p = 0.0875
Using our given values, our population model is:
P(t) = 260000(1 + 0.0875)t
P(t) = 260000(1.0875)t
The problem asks for P(12)
P(12) = 260000(1.0875)12
P(12) = 260000(2.7362210996434)
P(12) = 711417.48590729
Round our answer:
Rounded to the nearest integer, our population is 711417
You have 2 free calculationss remaining
What is the Answer?
Rounded to the nearest integer, our population is 711417
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.
This calculator has 1 input.
What 1 formula is used for the Population Growth Calculator?
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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