Question

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

( y = 130(0.32)^x )

answer attempt 1 out of 3

growth % increase

Explanation:

Step1: Identify growth/decay factor

The general exponential form is $y = a(b)^x$, where $b$ is the base. Here, $b=0.32$. Since $0 < b < 1$, this is decay.

Step2: Calculate decay percentage rate

The decay rate formula is $1 - b$.
$\text{Decay rate} = 1 - 0.32 = 0.68$
Convert to percentage: $0.68 \times 100 = 68\%$

Answer:

Decay, 68% decrease