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Use matrix multiplication to answer an application question

Question 1 of 8

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Matrices \(M\) and \(N\) describe tickets sold at community fundraiser booths. The columns of \(M\) and the rows of \(N\) use the same ticket type order

M: Tickets sold

Rows, in order: Hall booth, Oval booth

Columns, in order: Raffle tickets, Game tickets, Food tickets

\[M = \begin{bmatrix} 2 & 4 & 2 \\ 1 & 2 & 1 \end{bmatrix}\]

N: value for one unit of each ticket type

Rows, in order: Raffle tickets, Game tickets, Food tickets

Columns, in order: Sales value

\[N = \begin{bmatrix} \$1.65 \\ \$1.74 \\ \$1.90 \end{bmatrix}\]
(a)2 marks

Calculate \(MN\). Enter each total with the unit shown for its product column

Rows: Hall booth, Oval booth. Columns: Sales value ($)

\(MN\)
(b)1 mark

Interpret the entry in row 2, column 1 of \(MN\): Oval booth and Sales value