Solve the Problem Using Matrices Find the Final Course Score for Student 3 for Both

Multiple Choice

Solve the problem using matrices.
-The final grade for an algebra course is determined by grades on the midterm and final exam. The grades for four students and two possible grading systems are modeled by the following matrices. $$\left. \begin{array} { l c c } & \text { Midterm } & \text { Final } \\\text { Student 1 } & 73 & 79 \\\text { Student 2 } & 44 & 62 \\\text { Student 3 } & 81 & 85 \\\text { Student 4 } & 98 & 96\end{array} \right]$$



Find the final course score for Student 3 for both grading System 1 and System 2.

A) System 1: 83.4; System 2: 83
B) System 1: 74.9; System 2: $91.1$
C) System 1: 76.6; System 2: 76
D) System 1: 48.6; System 2: 53