Write the Word or Phrase That Best Completes Each Statement

question 31

Multiple Choice

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-An accountant checks the reported earnings for a concert venue for three different performers against the number of tickets sold. $\begin{array}{ccccc}\text { Performer } & \begin{array}{c}\text { Children } \\\text { Tickets }\end{array} & \begin{array}{c}\text { Student } \\\text { Tickets }\end{array} & \begin{array}{c}\text { General } \\\text { Admission }\end{array} & \begin{array}{c}\text { Total } \\\text { Revenue }\end{array} \\\mathbf{1} & 1,000 & 250 & 1,000 & \$ 24,750 \\\mathbf{2} & 400 & 300 & 300 & \$ 10,700 \\\mathbf{3} & 400 & 300 & 300 & \$ 8,700\end{array}$
Let $x , y$ , and $z$ represent the cost for children tickets, student tickets, and general admission tickets, respectively. Set up an augmented matrix for the system and solve for $x , y$ , and $z$ . Explain what the accountant knows about the reported earnings.

• A){ } ; The system of equations reduces to a contradiction. There are no values for \(x , y\), and \(z\) that can simultaneously meet the conditions of this problem.
• B) \(\{ ( 7,7,16 ) \}\); There were \(\$ 7\) children's tickets, \(\$ 7\) student tickets, and \(\$ 16\) general admission tickets sold.
• C) \(\{ ( 8,8,17 ) \}\); There were \(\$ 8\) children's tickets, \(\$ 8\) student tickets, and \(\$ 17\) general admission tickets sold.
• D) \(\{ ( 6,6,15 ) \}\); There were \(\$ 6\) children's tickets, \(\$ 6\) student tickets, and \(\$ 15\) general admission tickets sold.

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Definitions:

Assumptions

Basic beliefs or ideas that are accepted as true without proof, forming the basis for reasoning and decision making.

Cognitive Dissonance

A psychological discomfort experienced when holding contradictory beliefs, attitudes, or when actions conflict with one's beliefs.

Festinger and Carlsmith

Psychologists known for their 1959 cognitive dissonance experiment which demonstrated how attitudes can change to align with behavior.

Cognitive Dissonance

A psychological concept indicating the state of having inconsistent thoughts, beliefs, or attitudes, especially as relating to behavioral decisions and attitude change.