Solve the Problem A) $y=2.353 e^{0.610 x}, 91 \text { days }$

question 326

Multiple Choice

Solve the problem.
-Money magazine reports that the percentage of trading days in which the Dasdaq loses or gains 2% or more has been increasing since 1995 indicating more volatility in the Dasdaq. Use a graphing utility to fit an exponential
Function to the data. Predict the percentage of trading days in 2001 having such swings in value. $\begin{array}{l|l}\text { Year } & \% \text { of trading days } \\\hline 1995,0 & 2 \\1996,1 & 5 \\1997,2 & 8 \\1998,3 & 18 \\1999,4 & 23 \\2000,5 & 49\end{array}$

• A) \(y=2.353 e^{0.610 x}, 91 \text { days }\)
• B) \(\mathrm { y } = 1.669 \mathrm { x } 1.706,46\) days
• C) \(\mathrm { y } = 1.278 \mathrm { e } ^ { 0.611 \mathrm { x } } , 92 \text { days }\)
• D) \(\mathrm { y } = 1.849 \mathrm { e } ^ { 0.531 \mathrm { x } } , 76\) days

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Definitions:

Positive Externalities

Benefits that are enjoyed by a third-party or society as a whole as a result of an economic transaction or activity, without them directly paying for it.

Utility Function

A mathematical representation that describes how consumers rank preferences among different commodity bundles.

Campers' Utility

A hypothetical measure of the satisfaction or happiness that campers gain from participating in camping activities or utilizing camping facilities.

Externalities

Economic side effects or consequences that affect uninvolved third parties; can be either positive or negative.