Question

find growth/decay percentage (level 1)
this is the only question in this section.
question
given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
\\( y = 56(0.91)^x \\)
answer (always use % for 2
growth: % increase: submit answer

Explanation:

Step1: Compare to standard decay form

The standard exponential decay function is $y = a(1 - r)^x$, where $a$ is the initial value, $r$ is the decay rate, and $x$ is the independent variable. The given function is $y = 56(0.91)^x$.

Step2: Solve for decay rate $r$

Set $1 - r = 0.91$. Rearrange to solve for $r$:
$r = 1 - 0.91 = 0.09$
Convert to percentage: $0.09 \times 100 = 9\%$

Answer:

Decay, 9% decrease