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Population Growth Calculator

Formula

The formula to calculate the population size after a certain number of years is:

$x(t) = x_0 \times (1 + r)^t$

where $x(t)$ is the final population after time $t$ , $x_0$ is the initial population, $r$ is the rate of growth, and $t$ is the total time (number of years).

Population Growth Definition

Population growth is defined as the percentage increase in a population over a given time period. It is calculated using the initial population, the growth rate, and the time period.

Example Calculation

Let's assume we have the following values:

Initial Population ( $x_0$ ) = 1000
Growth Rate ( $r$ ) = 0.05 (5%)
Time ( $t$ ) = 10 years

Step 1: Calculate the growth factor:

$(1 + 0.05)^{10} \approx 1.6289$

Step 2: Multiply the initial population by the growth factor:

$1000 \times 1.6289 \approx 1628.89$

Therefore, the population after 10 years is approximately 1628.89.