Exponential Population Growth Calculator
🌍 Ecology. Use the Exponential population growth formula to find population at time t, starting population, growth rate r, time: pick the value you want, type the others, and the answer updates as you go.
Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.
What each letter means
| Quantity | Unit |
|---|---|
| Population at time t | no unit |
| Starting population | no unit |
| Growth rate r | per year |
| Time | years |
Worked example
Find the population at time t when Starting population = 1000, Growth rate r = 0.1 per year, Time = 10 years.
Using Nt = N0 e^(rt): Population at time t = 2718.3.
Frequently asked questions
What is the formula for Exponential population growth?
Nt = N0 e^(rt).
What do the letters stand for, and what units are used?
Population at time t, Starting population, Growth rate r in per year, Time in years.
How do you calculate population at time t?
Put the values into Nt = N0 e^(rt). For example, with Starting population = 1000, Growth rate r = 0.1 per year, Time = 10 years, population at time t = 2718.3.
Can I solve for a different value?
Yes. In the calculator above, pick the circle next to any value (population at time t, starting population, growth rate r, time) and fill in the others: it rearranges the formula for you.
