Answer
The function represents exponential growth.
Work Step by Step
The given function is
$f(t)=0.4(1.16)^{t-1}$
Use quotient of powers property.
$f(t)=0.4\cdot \frac{(1.16)^{t}}{(1.16)^1}$
Evaluate the power and simplify.
$f(t)=0.345(1.16)^{t}$
$f(t)=0.345(1+0.16)^{t}$
Hence, the function represents exponential growth.
