A Bookstore Is Having a Sale $A X = B$ , Which Can Be Solved to Determine the Price Each

question 43

Multiple Choice

A bookstore is having a sale. All books included in the sale have a colored sticker on them to indicate the sale price. There are green stickers, red stickers, and orange stickers. Bob, Sue, and Fred each make purchases of
Books that are on sale. Each row of the table gives information about the numbers of book purchases and the
Total cost of the purchase (before taxes) .

Use this information to set up a matrix equation of the form $A X = B$ , which can be solved to determine the price each type of sale book. Solve this matrix equation to find the price of a book with an orange sticker.
Use the fact that for $A = \left[ \begin{array} { l l l } 1 & 2 & 2 \\ 1 & 3 & 2 \\ 1 & 2 & 3 \end{array} \right] , A ^ { - 1 } = \left[ \begin{array} { r r r } 5 & - 2 & - 2 \\ - 1 & 1 & 0 \\ - 1 & 0 & 1 \end{array} \right]$ .

• A) $5.32
• B) $4.96
• C) $5.21
• D) $5.79

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Definitions:

Protection of the Public

Policies and measures implemented to safeguard the general populace from harm, including health, safety, and welfare concerns.

Competitions

Events or activities where individuals or groups vie against each other to achieve a goal or win a prize.

Unconscionable

Describes actions or terms that are so unjust or overwhelmingly one-sided that they are considered contrary to fair play.

Public Policy

Guidelines and principles that reflect the societal values and interests which guide lawmakers and government actions.