The Following Table Shows the Approximate Value V of One $t = 0$

question 131

Multiple Choice

The following table shows the approximate value V of one Euro in U.S dollars from its introduction in January 2000 to January 2004. ( $t = 0$ represents January, 2000.) $$\begin{array} { | r | c | c | c | } \hline \boldsymbol { t } ( \text { Year } ) & 0 & 2 & 4 \\\hline \boldsymbol { V } ( \text { Value in } \mathrm { S } ) & 1.00 & 0.90 & 1.25 \\\hline\end{array}$$ Which model would best fit the given data (A, a, b, c, k, l, and m are constants.)

• A)Logarithmic: \(V ( t ) = k \cdot \ln ( l \cdot t )\)
• B) Cubic: \(a \cdot ( t + b ) ^ { 3 } + c\)
• C) Linear: \(V ( t ) = m \cdot t + b\)
• D) Quadratic: \(V ( t ) = a \cdot t ^ { 2 } + b \cdot t + c\)
• E) Exponential: \(V ( t ) = A ^ { b \cdot t }\)

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