Exponential population growth
Exponential population growth: use initial population, continuous growth rate, elapsed time. Review the formula, worked example and calculation steps.
Inputs
Use the units shown—
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Formula & explanation
N(t) = N₀ exp(rt)
Variables & units
- Initial population
- Numeric value · minimum 0, maximum 1000000000000
- Continuous growth rate
- 1/time · minimum -100, maximum 100
- Elapsed time
- time units · minimum 0, maximum 1000
Worked example
Use the example inputs to explore this model; the solution shows each supplied quantity.
Assumptions
Continuous deterministic model, not a prediction of actual births, deaths or resources.
Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.
Practice with an example
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