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

question 30

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

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Definitions:

Initial Value

The starting point or original amount before any changes, such as growth or depreciation, have occurred.

Percent Change

A mathematical calculation that indicates the percentage difference between two values, often used to measure growth or decline.

Initial Value

The starting amount before any additions, subtractions, or other changes are made.

Percent Change

A measure that indicates how much a quantity has increased or decreased in percentage terms over a specified period.