The augmented matrix represents the situation is given as, [tex]\begin{bmatrix}6 & 2 | & 618 \\1 & 1 |& 165 \\\end{bmatrix}[/tex]. Then the correct option is B.
What is the matrix?
A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.
Let x be the number of the adults and y be the number of the children.
Adults were charged $6, and children were charged $2.
The total amount of money collected was $618.
6x + 2y = 618
A total of 165 people attended the opening night of a school play.
x + y = 165
The equation can be written in the form of matrix form. Then
[tex]\begin{bmatrix}6 & 2 | & 618 \\1 & 1 |& 165 \\\end{bmatrix}[/tex]
Then the correct option is B.
More about the matrix link is given below.
https://brainly.com/question/9967572
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