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

---

Definitions:

Slavery

A socio-economic system in which individuals are owned by others, forced to work without pay, and considered legal property.

Dominant Elite

The dominant elite describes a small group of individuals or entities that hold significant power, wealth, or influence over a larger population or a specific area of society or economy.

Poor White Men

Typically refers to economically disadvantaged white males, often discussed in socio-historical contexts regarding race, class, and political power.

Racial Divisions

The separation of people into different categories based on race, often resulting in inequality, discrimination, and social conflict.