what is the percent rate of change in function y=8900(1.362)^x

Answer 1

Percent rate of change is 136.2% assuming the rate of change is calculated for integer values of x.

Answer 2

To find the percent rate of change for the given exponential function, you can look at the base of the exponential term, which is 1.362.

The percent rate of change is calculated using the formula:

Percent Rate of Change = (Base−1)×100

In this case, it would be:

Percent Rate of Change = (1.362−1)×100 = 0.362×100 = 36.2%

Answer 3

If you rewrite the function as:

y = 8900(1 + .362)^x, the decimal portion is the percent rate of change (as a percentage 36.2%).

Check it out here to see the percent rate of change being applied:

desmos.com/calculator/tzzybfuio1