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John baked 12 cakes, 50 muffins, and 42 pastries on Friday. His goal for Saturday is to bake 3 times as many of each item. If [tex]\left[\begin{array}{l}12 \\ 50 \\ 42\end{array}\right][/tex] represents his production for Friday, which matrix represents his production for Saturday?

A. [tex]\left[\begin{array}{lll}36 & 150 & 126\end{array}\right][/tex]
B. [tex]\left[\begin{array}{lll}15 & 53 & 45\end{array}\right][/tex]
C. [tex]\left[\begin{array}{l}15 \\ 53 \\ 45\end{array}\right][/tex]
D. [tex]\left[\begin{array}{c}36 \\ 150 \\ 126\end{array}\right][/tex]



Answer :

GinnyAnswer
To determine John's production for Saturday, we start with his production numbers from Friday:

- Cakes: 12
- Muffins: 50
- Pastries: 42

John's goal for Saturday is to bake 3 times as many of each item. This means we need to multiply each of Friday's production numbers by 3.

1. Cakes on Saturday:
[tex]\[ 12 \times 3 = 36 \][/tex]

2. Muffins on Saturday:
[tex]\[ 50 \times 3 = 150 \][/tex]

3. Pastries on Saturday:
[tex]\[ 42 \times 3 = 126 \][/tex]

Thus, John's production for Saturday can be represented as:
[tex]\[ \left[\begin{array}{c} 36 \\ 150 \\ 126 \end{array}\right] \][/tex]

This matches option D in the provided choices.

Therefore, the correct answer is:
[tex]\[ \boxed{\left[\begin{array}{c}36 \\ 150 \\ 126\end{array}\right]} \][/tex]