Answer
The function represents exponential decay.
Work Step by Step
The given function is
$b(t)=4(0.55)^{t+3}$
Use quotient of powers property.
$b(t)=4(0.55)^{t}\cdot (0.55)^{3}$
Evaluate the power and simplify.
$b(t)=4(0.55)^{t}\cdot (0.166375)$
$b(t)=0.6655(0.55)^{t}$
$b(t)=0.6655(1-0.45)^{t}$
Hence, the function represents exponential decay.