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: \(V ( t ) = a \cdot ( t + b ) ^ { 4 } + c\)

---

Definitions:

Colonial Government

The governing structures established by colonial powers in territories they controlled, often prior to the territories gaining independence.

Angry Mob

A large, disorderly, and often violent crowd of people typically expressing or intending to cause harm or chaos.

Colonists

Individuals who settle in a new territory or colony, often leaving their homeland to form a new community or society.

Colonial Protesters

Individuals in a colony who demonstrate or agitate against the established rule or policies, often seeking independence or change.