Question

given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.\\( y = 290(0.31)^x \\)\
answer attempt 1 out of 2\
growth - % increase

Explanation:

Step1: Identify growth/decay factor

The general exponential form is $y = a(b)^x$, where $b$ is the base. Here, $b = 0.31$. Since $0 < b < 1$, this is decay.

Step2: Calculate percentage decrease

Subtract the base from 1, convert to percentage:
$1 - 0.31 = 0.69 = 69\%$

Answer:

Decay, 69% decrease