Exponential Growth

Exponential growth is a process where the quantity increases at a rate proportional to its current value, leading to faster and faster increases over time.

The formula is: N(t) = N0 * e^(rt), where N(t) is the quantity at time t, N0 is the initial quantity, r is the growth rate, and e is the base of the natural logarithm.

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The growth factor is 1 + r, where r is the growth rate expressed as a decimal.

Divide the percentage by 100. For example, 25% becomes 0.25.

Linear growth increases by a constant amount, while exponential growth increases by a constant percentage of the current amount.

Doubling time is the period it takes for a quantity to double in size at a constant growth rate.

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Exponential functions, typically in the form y = ab^x, where a is the initial amount, b is the growth factor, and x is time.

y = N0 * 2^x, where N0 is the initial population and x is the number of months.