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Exponential growth and decay models

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Useful for: MCR3U MCF3M MBF3C IB Math AA SL & HL IB Math AI SL & HL AP® Precalculus

Learn it Growth or decay by a fixed percent: A = A₀(1 ± r)ᵗ. Doubling: A = A₀(2)^(t/d), where d is the doubling time. Half-life: A = A₀(½)^(t/h). Read the units of time carefully.

Example: Bacteria double every 20 min. Start: 300. After 2 hours?

  1. 2 h = 120 min = 6 doublings.
  2. 300 × 2⁶ = 19 200.

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