Biology
Exponential Population Growth
Model continuous exponential population growth.
Nₜ = N₀eʳᵗ
Formula Explanation
Under a constant per-capita growth rate, population size changes exponentially in an idealized model.
Variables Explained
Nₜ = Population at time t; N₀ = Initial population; r = Continuous growth rate; t = Time; e = Euler number.
Solved Example
If N₀ = 100, r = 0.1 per year and t = 1 year, estimate Nₜ.
Nₜ = 100e⁰·¹ ≈ 110.52.