Answer
The function represents exponential decay and the rate of decay is $52\%$
Work Step by Step
The given function is
$\Rightarrow s(t)=0.65(0.48)^t$
$\Rightarrow s(t)=0.65(1-0.52)^t$
The function is of the form
$y=a(1-r)^t$, where $1-r<1$.
So, it represents exponential decay.
Decay factor is
$\Rightarrow 1-r=0.48$
Add $r-0.48$ to each side.
$\Rightarrow 1-r+r-0.48=0.48+r-0.48$
Simplify.
$\Rightarrow 0.52=r$.
$\Rightarrow r=52\%$.
Hence, the function represents exponential decay and the rate of decay is $52\%$
