Question

select the best description of the following exponential equation.$f(x)=96(0.89)^x$show your work here$\bigcirc$ decaying by 89% with every unit of $x$.$\bigcirc$ decaying by 11% with every unit of $x$.$\bigcirc$ growing by 11% with every unit of $x$.$\bigcirc$ growing by 89% with every unit of $x$.

Explanation:

Step1: Recall exponential form

The standard exponential function is $f(x)=a(b)^x$, where $b$ is the growth/decay factor. If $0

Step2: Calculate decay rate

Decay rate $r = 1 - b$. Here, $b=0.89$, so $r=1-0.89=0.11$, or 11%.

Answer:

Decaying by 11% with every unit of $x$.