Question

Given the exponential function f(x) = 16(0.75)", classify the function as exponential growth or decay and determine the percent rate of growth or decay.
Exponential growth, 75% increase
O Exponential decay, 75% decrease
O Exponential growth, 25% increase
Exponential decay, 25% decrease​

Answer 1

Answer:

D

Step-by-step explanation:

To determine if a function is exponential decay or growth, simply look at the rate. If the rate is less than one, it is decay. It it's greater than one, it's growth.

The rate in the given function is 0.75 or 75%. 0.75 is less than one so it's exponential decay.

To determine the percent decrease, simply subtract the rate into 1 or 100%. Thus:

$1-0.75=0.25$

Therefore, it is a 0.25 or 25% decrease.

The answer is D.