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

question 19

Multiple Choice

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) \(y = \left\{ \begin{array} { l l }
• 50 t + 200 & \text { if } 0 \leq t \leq 5 \\
• - 30 t + 200 & \text { if } 5 < t \leq 9
• \end{array} \right.\)

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Definitions:

Group Bond

The sense of solidarity or attachment among members of a group, fostering unity and support.

Groupthink

The tendency of group members to think alike, especially when doing so leads to bad decisions.

Commons Dilemma

A situation in which individuals or groups must balance personal interests with the collective good in the management and consumption of shared resources, often leading to conflicts over resource distribution.

Obedience

The act of following orders or instructions from an authority figure, even if it goes against one's personal beliefs or desires.