Question

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=720(1.81)^x

Answer 1

growth at the rate of 81% increase.

Explanation:

When the base of the exponential function (1.81) is greater than one, it is growth, because with x increasing by one, the value increases by 81% (1.81-1.0)

On the other hand, when the base is less than one, then it decrease at the rate of (1-base). For example, when the base is 0.83, then increasing the value of x DECREASES the value by (1-0.83)= 17%.