2
practice testMultiple Choice

Practice Test

Question 2 • Advanced Algebra: Concepts and Connections

A total of 165 people attended the opening night of a school play. Adults were charged 6 dollars , and children were charged 2 dollars The total amount of money collected was 618 dollars Which augmented matrix represents the situation?

Answer
A
the 2 by 3 matrix row 1, 6 2 165 row 2, 1 1 618
B
the 2 by 3 matrix row 1, 6 1 618 row 2, 2 1 165
C
the 2 by 3 matrix row 1, 6 1 165 row 2, 2 1 618
D
the 2 by 3 matrix row 1, 6 2 618 row 2, 1 1 165

Explanation

Let x be the number of adults and y the number of children. The ticket-revenue equation is 6x + 2y = 618, and the attendance equation is x + y = 165. These equations give the augmented matrix with rows [6, 2 | 618] and [1, 1 | 165], which is choice B.

AI-written and checked against the verified answer.

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