How to solve
In f(t) = a·rᵗ, a is the starting amount and r the factor applied each time step.
Steps
- Identify a (the t = 0 value) and r (the per-step factor).
- Raise r to the t power.
- Multiply by a.
Example
A colony starts at 40 and doubles each hour. Size after 3 hours?
- f(3) = 40 · 2³.
- 40 · 8 = 320.
Answer: 320
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