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The Following Table Shows the Approximate Value V of One t=0t = 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=0t = 0 represents January, 2000.) t( Year ) 024V( Value in S) 1.000.901.25\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) =kln(lt) V ( t ) = k \cdot \ln ( l \cdot t )
B) Cubic: a(t+b) 3+ca \cdot ( t + b ) ^ { 3 } + c
C) Linear: V(t) =mt+bV ( t ) = m \cdot t + b
D) Quadratic: V(t) =at2+bt+cV ( t ) = a \cdot t ^ { 2 } + b \cdot t + c
E) Exponential: V(t) =AbtV ( t ) = A ^ { b \cdot t }

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