Question

given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

$y = 100(0.971)^x$

growth
decay
growth % increase
submit answer

Explanation:

Step1: Identify growth/decay factor

The base of the exponential term is $0.971$. Since $0 < 0.971 < 1$, this is exponential decay.

Step2: Calculate decay percentage

Subtract the base from 1 and convert to a percentage:
$1 - 0.971 = 0.029 = 2.9\%$

Answer:

Decay, 2.9% decrease