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Exponential growth and decay models
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Learn it Growth: A = A₀(1 + r)ᵗ. Decay: A = A₀(1 − r)ᵗ. Half-life: A = A₀(½)^(t/h), where h is the half-life. r is the rate per period as a decimal.
Example: A town of 12 000 grows 3% a year. Population after 10 years?
- A = 12 000(1.03)¹⁰.
- ≈ 16 127.
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