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Following Are Some Approximate Values of the Amex Gold BUGS  Year 199520002004 Index 20050250\begin{array} { | l | l | l | l | } \hline \text { Year } & 1995 & 2000 & 2004 \\\hline \text { Index } & 200 & 50 & 250 \\\hline\end{array}

Question 19

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Following are some approximate values of the Amex Gold BUGS Index.  Year 199520002004 Index 20050250\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={30t+200 if 0t550t200 if 5<t9y = \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={30t+200 if 0t550t+200 if 5<t9y = \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={30t+200 if 0t550t200 if 5<t9y = \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={50t+200 if 0t530t200 if 5<t9y = \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={50t+200 if 0t530t+200 if 5<t9y = \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.

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