Q31. - Algebra 2

Question

For exercises 30 and 31, use the costs for an overnight stay at a hotel that are given below.

Single room: $\mathbf{\backslash (}\mathbf{60}$ weekday; $\mathbf{\backslash )}\mathbf{79}$ weekend

Double room: $\mathbf{\backslash (}\mathbf{70}$ weekday; $\mathbf{\backslash )}\mathbf{89}$ weekend

Suite: $\mathbf{\backslash (}\mathbf{75}$ weekday; $\mathbf{\backslash )}\mathbf{95}$ weekend

30. Write a $\mathbf{2}\mathbf{\times }\mathbf{3}$ matrix that represents the cost of each room.

Step-by-Step Solution

Answer

A required $2\times 3$ matrix is $\left[\begin{array}{ccc}\mathbf{60}& \mathbf{70}& \mathbf{75}\\ \mathbf{79}& \mathbf{89}& \mathbf{95}\\ & & \end{array}\right]$.

Step 1 – Description of step.

Matrix is an ordered rectangular arrangement of numbers in horizontal rows and vertical columns enclosed in brackets.

Step 2 – Description of step.

Let two rows stands for cost on weekday and cost on weekend respectively and three columns stands for single room, double room and suite respectively.

Step 3 – Description of step.

Write a matrix using given information.

 $\left[\begin{array}{ccc}60& 70& 75\\ 79& 89& 95\\ & & \end{array}\right]$

Therefore, the required $2\times 3$ matrix is $\left[\begin{array}{ccc}60& 70& 75\\ 79& 89& 95\\ & & \end{array}\right]$.