The Following Table Shows the Approximate Average Household Income in the U.S

question 119

Multiple Choice

The following table shows the approximate average household income in the U.S. in 1990, 2002, and 2003. ( $t = 0$ represents 1990.) $$\begin{array} { | r | c | c | c | } \hline \boldsymbol { t } \text { (Year) } & 0 & 12 & 13 \\\hline \boldsymbol { H } \text { (Household Income in \$1000) } & 30 & 42 & 43 \\\hline\end{array}$$ Which of the following kinds of models would best fit the given data (A, a, b, c, and m are constants.)

• A)Exponential: \(V ( t ) = A ^ { b \cdot t }\)
• B) Logarithmic: \(V ( t ) = A \cdot \ln ( b \cdot t )\)
• C) Linear: \(V ( t ) = m \cdot t + b\)
• D) Quadratic: \(V ( t ) = a \cdot t ^ { 2 } + b \cdot t + c\)
• E) Power: \(V ( t ) = a \cdot ( t + b ) ^ { 4 } + c\)

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Definitions:

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