The Value of the Conference Board Index of 10 Economic $$E ( t ) = \left\{ \begin{array} { l l } 0.4 t + 110 & \text { if } 6 \leq t \leq 15 \\- 0.2 t 119 & \text { if } 15 < t \leq 20\end{array} \right.$$

question 60

Multiple Choice

The value of the Conference Board Index of 10 economic indicators in the U.S. could be approximated by the function of time t in months since the end of December 2002. $$E ( t ) = \left\{ \begin{array} { l l } 0.4 t + 110 & \text { if } 6 \leq t \leq 15 \\- 0.2 t 119 & \text { if } 15 < t \leq 20\end{array} \right.$$
Use the model to estimate when - prior to March, 2004 - the index was 113.

• A) \(t = 7.0\) months
• B) \(t = 7.5\) months
• C) \(t = 7.8\) months
• D) \(t = 7.4\) months
• E) \(t = 6.5\) months

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Definitions:

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