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

Answer:

4% decay

Therefore, option A is correct.

Step-by-step explanation:

We have been given a function:

$y=(0.96)^x$

Our general equation of exponential decay is:

$y=a(1-\frac{b}{100})^x$

On comparing the decay with general equation we get:

$1-\frac{b}{100}=0.96$

On simplification:

$\frac{b}{100}=.96-1$

$\frac{b}{100}=-0.04$

$b=4%$

Hence, 4% decay

Therefore, option A is correct.

Answer 2

B
The original value will be multiplied by 0.96 each time, making it 4% less than what it was.