Grades In order to receive an A in a college course it is necessary to obtain an average of 90 %

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Grades In order to receive an A in a college course it is...

Grades In order to receive an $\mathrm{A}$ in a college course it is necessary to obtain an average of $90 \%$ correct on three 1-hour exams of 100 points each and on one final exam of 200 points. If a student scores $82,88,$ and 91 on the 1-hour exams, what is the minimum score that the person can receive on the final exam and still earn an A?

Grades In order to receive an $\mathrm{A}$ in a college course it
is necessary to obtain an average of $90 \%$ correct on three 1-hour exams of 100 points each and on one final exam of 200 points. If a student scores $82,88,$ and 91 on the 1-hour exams, what is the minimum score that the person can receive on the final exam and still earn an A?

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Key Concepts

Weighted Average

A weighted average is a method of calculating an overall score where different components contribute unequally to the final result. In academic grading, various exams or assignments can have different total points or percentages, so each is multiplied by a factor that reflects its relative importance before summing them to get the overall grade.

Linear Inequalities

Linear inequalities are used to determine the minimum or maximum values needed to satisfy a condition, such as achieving a target grade. In academic contexts, setting up an inequality can help find the minimum score required in a remaining exam or assignment by accounting for the scores already achieved and the overall desired average.

Percentage and Point Conversion

Understanding the relationship between percentages and raw scores is crucial in evaluating academic performance. Converting a percentage requirement into a total point threshold, and vice versa, allows students and educators to determine what scores are needed on various assessments to meet a specified criterion.

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