Exponential growth is a pattern of data that shows greater increases with passing time, creating the curve of an exponential function.

Exponential growth occurs when the instantaneous rate of change of a quantity with respect to time is proportional to the quantity itself.

**Formula to calculate exponential growth.**

a = initial amount.

r = growth rate as a decimal.

x = number of time intervals passed.

**Example:**

Suppose the growth rate of a population was 10% after a period of 5 years, find the exponential growth if the initial population was 500,000.

Thus, the population would have grown to 805,255.