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# Exponential Growth

When a quantity increases by the same factor over equal intervals of time, it is said that such a quantity is in exponential growth. Exponential growth is modeled using exponential functions where and
In this form, is the initial amount, the base is the growth factor, and usually represents time. Like any other exponential function, also represents the intercept.
As shown, the greater the base the faster the exponential function grows. Since the base is greater than it can be written as the sum of and some positive number This constant can then be interpreted as the rate of growth, in decimal form.
For example, means that the quantity increases by over every unit of time.