Identify the percent rate of change.

Question

y=4(0.8)^t

Answer 1

Hello Ava,

The equation is written as y = a (b)^t where b represents the:

1. GROWTH factor is b > 1
2. DECAY factor is 0 < b < 1

As you can see, in your case b = 0.8 so it'll fall under the 2nd option.

To find the rate of change, take the absolute value of 1-b: |1 - 0.8| = |0.2| = 0.2 = 20%

So y is DECAYING (or decreasing) with a rate of change of 20%