| $t$ | 0 | 2 |
| $f ( t )$ | 4 | 12 |
Let $y = f ( t )$ be a solution to the differential equation $\frac { d y } { d t } = k y$, where $k$ is a constant. Values of $f$ for selected values of $t$ are given in the table below:
\begin{center}
\begin{tabular}{ | c | | c | c | }
\hline
$t$ & 0 & 2 \\
\hline
$f ( t )$ & 4 & 12 \\
\hline
\end{tabular}
\end{center}
Which of the following is an expression for $f ( t )$ ?\\
(A) $4 e ^ { \frac { t } { 2 } \ln 3 }$\\
(B) $e ^ { \frac { t } { 2 } \ln 9 } + 3$\\
(C) $2 t ^ { 2 } + 4$\\
(D) $4 t + 4$