Answer
$ y=100,000(0.98)^t$.
Work Step by Step
Initial population
$a=100,000$
Rate of decay
$r=2\%=0.02$
The exponential decay function is
$\Rightarrow y=a(1-r)^t$
Substitute $100,000$ for $a$ and $0.02$ for $r$.
$\Rightarrow y=100,000(1-0.02)^t$
Simplify.
$\Rightarrow y=100,000(0.98)^t$.
