Problem
The final grade in a particular course is determined by grades on the midterm and final. The grades for five students and the two grading systems are modeled by the following matrices. Call the first matrix A and the second B. Complete parts (a) and (b). Click to view the matrices. a. Describe the grading system that is represented by matrix $B$ Grading system 1 assigns $\square \%$ of the final grade to the midterm and $\square \%$ of the final grade to the final Grading system 2 assigns $\square \%$ of the final grade to the midterm and $\square \%$ of the final grade to the final. Data table \begin{tabular}{|c|c|c|c|c|c|} \hline & Midterm & Final & & System 1 & System 2 \\ \hline Student 1 & {$[79$} & $94]$ & Midterm & 0.5 & 0.37 \\ \hline Student 2 & 74 & 84 & Final & 0.5 & 0.7 \\ \hline Student 3 & 92 & 87 & & & \\ \hline Student 4 & 90 & 60 & & & \\ \hline Student 5 & 60 & 77 & & & \\ \hline \end{tabular} Ask my instructor Print Done Clear all Check answer
Solution
Step 1 ：The question is asking to describe the grading system represented by matrix B. From the data table, we can see that matrix B represents two grading systems.
Step 2 ：In system 1, the midterm and final each contribute 50% to the final grade.
Step 3 ：In system 2, the midterm contributes 37% and the final contributes 70% to the final grade.
Step 4 ：Final Answer: Grading system 1 assigns 50% of the final grade to the midterm and 50% of the final grade to the final. Grading system 2 assigns 37% of the final grade to the midterm and 70% of the final grade to the final.
