Question

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

y=270(1.86)^x
y=270(1.86)
x

Answer 1

..

Explanation:

Answer 2

The function f(x) = 270(1.86)ˣ is an exponential growth function

The percent rate of change is 86%

What type of function is the equation

From the question, we have the following parameters that can be used in our computation:

f(x) = 270(1.86)ˣ

The function f(x) = 270(1.86)ˣ is an example of an exponential growth function.

In exponential growth functions, the base (in this case, 1.86) is greater than 1, and as x increases, the function increases

Also, we have the percent rate of change to be

Rate = 1.86 - 1

Rate = 0.86

So, we have

Rate = 86%

Hence, the percent rate of change is 86%