Q30. - 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 $\mathbf{3}\mathbf{\times }\mathbf{2}$ matrix that represents the cost of each room.

Step-by-Step Solution

Answer

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

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

Step 3 – Description of step.

Write a matrix using given information.

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

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