Answer
The function represents exponential decay.
Work Step by Step
The given function is
$y=5(0.82)^{\frac{t}{5}}$
Use power of powers property.
$y=5(0.82^{\frac{1}{5}})^t$
Evaluate the power and simplify.
$y=5(0.96)^t$
$y=5(1-0.04)^{t}$
Hence, the function represents exponential decay.