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Exponential Growth and Decay Rate Calculator

y = y₀ · eʳᵗ — continuous exponential model.

Computes y(t) = y₀ · e^(r·t) for continuous exponential growth (r > 0) or decay (r < 0). Also calculates the doubling time (growth) or half-life (decay) from the rate r.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

y(t) = y₀ · e^(r·t); T_d = ln2/r

In depth

Computes y(t) = y₀ · e^(r·t) for continuous exponential growth (r > 0) or decay (r < 0). Also calculates the doubling time (growth) or half-life (decay) from the rate r.