Math Problem Statement
Trent earns scores of 69, 80, and 72 on three chapter tests for a certain class. His homework grade is 64 and his grade for a class project is 63. The overall average for the course is computed as follows: the average of the three chapter tests makes up 40% of the course grade; homework accounts for 20% of the grade; the project accounts for 20%; and the final exam accounts for 20%. What scores can Trent earn on the final exam to pass the course if he needs a "C" or better? A "C" or better requires an overall score of 70 or better, and 100 is the highest score that can be earned on the final exam. Assume that only whole-number scores are given.
Solution
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Math Problem Analysis
Mathematical Concepts
Weighted Average
Basic Algebra
Inequalities
Formulas
G = 0.40 × (Average of Chapter Tests) + 0.20 × Homework + 0.20 × Project + 0.20 × Final Exam
Average of Chapter Tests = (69 + 80 + 72) / 3
0.20x ≥ 70 - (Chapter Test Contribution + Homework Contribution + Project Contribution)
Theorems
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Suitable Grade Level
Grades 9-12
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