Question

What is the percent rate of change in function y=(0.96)^x? Determine Whether The Function Represents Exponential Growth Or Exponential Decay?

A.) 4%, Decay
B.) 4%, Growth
C.) 0.4%, Growth
D.) 0.04%, Decay

Answer 1

4% exponential decay

You're Welcome

Answer 2

4% decay

Therefore, option A is correct.

Explanation:

We have been given a function:

`y=(0.96)^x`

Our general equation of exponential decay is:

`y=a(1-(b)/(100))^x`

On comparing the decay with general equation we get:

`1-(b)/(100)=0.96`

On simplification:

`(b)/(100)=.96-1`

`(b)/(100)=-0.04`

`b=4%`

Hence, 4% decay

Therefore, option A is correct.