Q36. - Algebra 2

Question

For Exercises 36-39, use the table and the information below.

Lawrence High School sold wrapping paper and boxed cards for their fund-raising event. The school receives 1.00 for each roll of wrapping paper sold and 0.50  for each box of cards sold.  

 Write a matrix that represents the amounts sold for each class and a matrix that represents the amount of money the school earns for each item sold.

Step-by-Step Solution

Answer

The matrix related to the amount for class is$C=\left[\begin{array}{cc}1& 0.50\end{array}\right]$  and related to the earning of school is .$E=\left[\begin{array}{cccc}72& 68& 90& 86\\ 49& 63& 56& 62\end{array}\right]$

Step 1- State the dimensions for each matrix

The dimensions of the matrix related to the amount for class will be$1\times 2$ and related to the earning of school will be .$2\times 4$

Step 2 – Make the required matrix

By using the provided information and dimensions make the matrix C related to the amount for class.

$C=\left[\begin{array}{cc}1& 0.50\end{array}\right]$

By using the provided information and dimensions make the matrix E related to the earning of school. In this matrix, the first column will be for Freshman, second for sophomores, third for Juniors and fourth for seniors.

$E=\left[\begin{array}{cccc}72& 68& 90& 86\\ 49& 63& 56& 62\end{array}\right]$

Step 3- Make the conclusion

As the obtained matrices are completely defining the provided information so obtained matrices are the required matrices.