Lucas scored 75, 78, 82, and 84 on his four algebra tests. There is one test remaining in the grading period. Lucas's homework average is 95. His teacher will count each test score and the homework average as one-sixth of Lucas's final grade. • Write an equation to determine the score that Lucas must attain on his remaining test to have a final grade of exactly 80. • Solve the equation and justify the answer by showing your work. • Write a sentence explaining what your answer means.

Lucas scored 75, 78, 82, and 84 on his four algebra tests. There is one test remaining in the grading period. Lucas's homework average is 95. His teacher will count each test score and the homework average as one-sixth of Lucas's final grade. • Write an equation to determine the score that Lucas must attain on his remaining test to have a final grade of exactly 80. • Solve the equation and justify the answer by showing your work. • Write a sentence explaining what your answer means.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Lucas scored 75, 78, 82, and 84 on his four algebra tests. There is one test remaining in the grading period. Lucas's homework average is 95. His teacher will count each test score and the homework average as one-sixth of Lucas's final grade.

• Write an equation to determine the score that Lucas must attain on his remaining test to have a final grade of exactly 80.

• Solve the equation and justify the answer by showing your work.

• Write a sentence explaining what your answer means.

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