A percentage is a way to describe a part of a whole. The correct matrix is C.
What are Percentages?
A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that the table shows Amy's, Jenny's, and Meg's sales for the month of February. They get a 5% commission on their sales. Therefore, the commission on each product category and for each person can be calculated as shown below.
Commission on book sales for Amy, a₁₁ = 120 × 0.05 = 6
Commission on book sales for Jenny, a₁₂= 250× 0.05 = 12.5
Commission on book sales for Meg, a₁₃ = 215 × 0.05 = 10.75
Commission on Games sales for Amy, a₂₁ = 155 × 0.05 = 7.75
Commission on Games sales for Jenny, a₂₂= 106 × 0.05 = 5.3
Commission on Games sales for Meg, a₂₃ = 175 × 0.05 = 8.75
Commission on Tables sales for Amy, a₃₁ = 350 × 0.05 = 17.5
Commission on Tables sales for Jenny, a₃₂= 400 × 0.05 = 20
Commission on Tables sales for Meg, a₃₃ = 290 × 0.05 = 14.5
Now, the matrix can be made as shown below,
[tex]\left[\begin{array}{ccc}6&12.5&10.75\\7.75&5.3&8.75\\17.5&20&14.5\end{array}\right][/tex]
Hence, the correct matrix is C.
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