The Table Gives the Number of People (In Thousands) Who

question 65

Multiple Choice

The table gives the number of people (in thousands) who visited Australia and South Africa in 1998: $$\begin{array} { | l | l | l | } \hline & \text { To Australia } & \text { To South Africa } \\\hline \text { From North America } & 440 & 190 \\\hline \text { From Europe } & 950 & 950 \\\hline \text { From Asia } & 1,790 & 200 \\\hline\end{array}$$ Figures are rounded to the nearest 1,000.
You predict that, in 2008, 20,000 fewer people from North America will visit Australia and 30,000 more will visit South Africa, 80,000 more people from Europe will visit each of Australia and South Africa, and 150,000 more people from Asia will visit South Africa, but there will be no change in the number visiting Australia.
Use matrix algebra to predict the number of visitors from the three regions to Australia and South Africa in 2008.

• A) \(\left[ \begin{array} { c c }
• 420 & 220 \\
• 1,030 & 1,000 \\
• 1,780 & 370
• \end{array} \right]\)
• B) \(\left[ \begin{array} { c c }
• 420 & 230 \\
• 1,030 & 1,030 \\
• 1,790 & 370
• \end{array} \right]\)
• C) \(\left[ \begin{array} { c c }
• 410 & 220 \\
• 1,010 & 1,030 \\
• 1,790 & 350
• \end{array} \right]\)
• D) \(\left[ \begin{array} { c c }
• 420 & 230 \\
• 1,010 & 1,010 \\
• 1,790 & 370
• \end{array} \right]\)
• E) \(\left[ \begin{array} { c c }
• 420 & 220 \\
• 1,030 & 1,030 \\
• 1,790 & 350
• \end{array} \right]\)

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