Q37. - 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 receives1.00  for each roll of wrapping paper sold and 0.50 for each box of cards sold.  

 Write a matrix that shows how much each class earned

Step-by-Step Solution

Answer

The money generated by freshmen is $96.5$ , sophomores is99.5 , Juniors is118 and seniors is .117

Step 1- Determine the method that will be used

The result of multiplication between the matrices related to the amount for class and earning of school will help.

Step 2 – Use the method

Perform the multiplication between the matrices$C=\left[\begin{array}{cc}1& 0.50\end{array}\right]$ and

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

$\begin{array}{c}CE=\left[\begin{array}{cc}1& 0.50\end{array}\right]\cdot \left[\begin{array}{cccc}72& 68& 90& 86\\ 49& 63& 56& 62\end{array}\right]\\ =\left[\begin{array}{cccc}96.5& 99.5& 118& 117\end{array}\right]\end{array}$

Step 3- Make the conclusion

The freshmen generated 96.5, sophomores generated 99.5, Juniors generated 118, and seniors generated117 because the first column is for freshmen, second for sophomores, third for juniors and fourth for seniors