Question

Computing Grades Going into the final exam, which will count as two-thirds of the final grade, Mike has test scores of $86,80,84,$ and $90 .$ What minimum score does Mike need on the final in order to earn a B, which requires an average score of $80 ?$ What does he need to earn an A, which requires an average of $90 ?$

Name: Problem 90, Chapter 1: Algebra and Trigonometry
Uploaded: 2020-04-10T15:14:49-08:00
Duration: 2 min 13 s
Channel: Ankit Gupta
Description: Computing Grades Going into the final exam, which will count as two-thirds of the final grade, Mike has test scores of 86,80,84, and 90 . What minimum score does Mike need on the final in order to earn a B, which requires an average score of 80 ? What does he need to earn an A, which requires an average of 90 ?

   Computing Grades Going into the final exam, which will count as two-thirds of the final grade, Mike has test scores of $86,80,84,$ and $90 .$ What minimum score does Mike need on the final in order to earn a B, which requires an average score of $80 ?$ What does he need to earn an A, which requires an average of $90 ?$

Algebra and Trigonometry

Michael Sullivan 11th Edition

Chapter 1, Problem 90

Instant Answer

Solved by Expert Ankit Gupta

04/10/2020

Step 1

To do this, we add the scores together and divide by the number of tests: Average = (86 + 80 + 84 + 90) / 4 = 340 / 4 = 85 Now, let's call Mike's final exam score F. Since the final exam counts as two-thirds of the final grade, we can set up the following Show more…

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Computing Grades Going into the final exam, which will count as two-thirds of the final grade, Mike has test scores of $86,80,84,$ and $90 .$ What minimum score does Mike need on the final in order to earn a B, which requires an average score of $80 ?$ What does he need to earn an A, which requires an average of $90 ?$

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Key Concepts

Weighted Average

A weighted average is a method of calculating an overall average where different components contribute differently to the final result. This is crucial when various assessments, such as quizzes, tests, and final exams, have different impacts on the final grade.

Weighting of Final Exam

The final exam often has a unique weight compared to other assessments. Understanding the impact of the exam’s weight on the overall grade is essential for determining the minimum score needed to meet specific grade targets.

Algebraic Equation Formulation

Setting up a linear equation using the weights of the individual assessments and the final exam allows one to calculate the required score on the final exam. This technique involves expressing the overall average as a combination of known scores and the unknown score weighted by its relative contribution.

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