Solve this population growth problem
atownhasapopulationof75000andgrowsat3%everyyear.whatwillbethepopulationafter10years
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 = 75000, p = 0.03, and t = 10
Since the population increases, we add p = 0.03
Using our given values, our population model is:
P(t) = 75000(1 + 0.03)t
P(t) = 75000(1.03)t
The problem asks for P(10)
P(10) = 75000(1.03)10
P(10) = 75000(1.3439163793441)
P(10) = 100793.72845081
Round our answer:
Rounded to the nearest integer, our population is 100794
What is the Answer?
Rounded to the nearest integer, our population is 100794
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?
P(t) = P0(1 + p)t
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
