Question

the entrance fees of a theme park are listed below. write the given information in a 2 by 3 matrix form.

\

$$\begin{tabular}{|c|c|c|} \\hline & \\multicolumn{2}{c|}{rates} \\\\ \\hline & week days & week end \\\\ \\hline adult & \\$25 & \\$30 \\\\ \\hline children & \\$20 & \\$25 \\\\ \\hline senior citizen & \\$18 & \\$20 \\\\ \\hline \\end{tabular}$$

\\(p = \

$$\begin{bmatrix} 25 & 20 & 18 \\\\ 30 & 25 & 20 \\end{bmatrix}$$

\\)

Explanation:

Identify the target dimensions

The problem asks to organize the given theme park entrance rates into a \(2 \times 3\) matrix. Using the Matrix Dimensions concept, a \(2 \times 3\) matrix must have exactly 2 rows and 3 columns.

Analyze the input data

The table contains rates categorized by age group (rows: Adult, Children, Senior Citizen) and day type (columns: Week Days, Week End):

• Week Days: Adult = \$25, Children = \$20, Senior Citizen = \$18
• Week End: Adult = \$30, Children = \$25, Senior Citizen = \$20

Map data to the requested dimensions

Using the Data Organization concept, to form a \(2 \times 3\) matrix (2 rows, 3 columns), we must assign the 2 day types to the rows and the 3 age groups to the columns:

• Row 1 (Week Days): \([25, 20, 18]\)
• Row 2 (Week End): \([30, 25, 20]\)

Construct the final matrix

Using the Matrix Representation concept, we write these rows inside matrix brackets to form the final matrix \(P\):

$$ P =
LATEXBLOCK0
$$

Answer:

$$ P =
LATEXBLOCK0
$$