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Year 10
Exponential Growth and Decay
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What is exponential growth?
Exponential growth occurs when a quantity increases by a fixed percentage over equal time intervals.
What is the general formula for exponential decay?
The formula is $$N(t) = N_0 e^{-rt}$$, where $N(t)$ is the amount at time $t$, $N_0$ is the initial amount, and $r$ is the decay rate.
How does the doubling time relate to exponential growth?
The doubling time is the period it takes for a quantity to double in size during exponential growth, which can be estimated using the rule of 70.
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