Population Rate Calculator

Formula

The formula to calculate the Final Population (FP) is:

\[ \text{FP} = \text{IP} \times (1 + r)^t \]

Where:

\( \text{FP} \) is the Final Population
\( \text{IP} \) is the Initial Population
\( r \) is the Growth Rate (expressed as a decimal)
\( t \) is the Time Span in years

Population Growth Rate Definition

Population growth rate is the rate at which the number of individuals in a population increases in a given time period as a result of births, deaths, and migration. It is often expressed as a percentage. Understanding the population growth rate is crucial for planning in areas such as urban development, resource management, and environmental conservation.

Example Calculation

Let's consider an example:

Initial Population (IP): 1,000
Growth Rate (r): 0.05 (5%)
Time Span (t): 10 years

Using the formula to calculate the Final Population:

\[ \text{FP} = 1000 \times (1 + 0.05)^{10} = 1000 \times (1.05)^{10} \approx 1000 \times 1.629 = 1628.89 \]

This demonstrates that with an initial population of 1,000, a growth rate of 5%, and over 10 years, the final population would be approximately 1,628.89.