Following Are Some Approximate Values of the Amex Gold BUGS $\begin{array} { | l | l | l | l | } \hline \text { Year } & 1995 & 2000 & 2004 \\\hline \text { Index } & 200 & 50 & 250 \\\hline\end{array}$

Following are some approximate values of the Amex Gold BUGS Index. $\begin{array} { | l | l | l | l | } \hline \text { Year } & 1995 & 2000 & 2004 \\\hline \text { Index } & 200 & 50 & 250 \\\hline\end{array}$

Take t to be the year since 1995 and y to be the BUGS index.
Obtain a piecewise linear model of the gold BUGS index for 1995-2004.

A) $y = \left\{ \begin{array} { l l } 30 t + 200 & \text { if } 0 \leq t \leq 5 \\50 t - 200 & \text { if } 5 < t \leq 9\end{array} \right.$
B) $y = \left\{ \begin{array} { l l } - 30 t + 200 & \text { if } 0 \leq t \leq 5 \\50 t + 200 & \text { if } 5 < t \leq 9\end{array} \right.$
C) $y = \left\{ \begin{array} { l l } - 30 t + 200 & \text { if } 0 \leq t \leq 5 \\50 t - 200 & \text { if } 5 < t \leq 9\end{array} \right.$
D) $y = \left\{ \begin{array} { l l } 50 t + 200 & \text { if } 0 \leq t \leq 5 \\- 30 t - 200 & \text { if } 5 < t \leq 9\end{array} \right.$
E) $y = \left\{ \begin{array} { l l } 50 t + 200 & \text { if } 0 \leq t \leq 5 \\- 30 t + 200 & \text { if } 5 < t \leq 9\end{array} \right.$