A population grows exponentially according to the formula P = P₀ × e^(0.05t), where P₀ = 1000 and t is in years. What will the population be after 10 years? (Use e ≈ 2.718)

Tue, 05 May 2026 15:54:53 +0000

Exponential Population Growth: How a Population Doubles and Growth Calculations Work Population growth often follows an exponential pattern, especially in ideal conditions with unlimited resources. One of the most widely used mathematical models to describe this is the exponential growth formula: P = P₀ × e^(rt) Where:
- P is the future population
- P₀ is the initial population
- e is Euler’s number, approximately equal to 2.718
- r is the growth rate per unit time
- t is the time in years