Question

Your college professor uses a 30%-30%-40% split on grades for homework, quizzes, and tests. However, the category with the highest average will be weighted at 40%. If your homework average is 91, quiz average is 81, and test average is 59, what will your final grade be?

A. 74.2
B. 75.8
C. 77.6
D. 79.3

Answer 1

The final grade is calculated by weighing the highest average category at 40% and the others at 30%. Homework is weighted at 40% due to the highest average score of 91. The calculated final grade is 78.4, which makes (D) 79.3 the closest option provided.

Step-by-step explanation:

To calculate the final grade, first we must identify which category will be weighted at 40%. In this case, the homework average is the highest at 91, so it gets the 40% weight. The quiz average is next highest at 81, and the test average is the lowest at 59. Using this information, we calculate the final grade as follows:

• Homework: 91 (average) x 0.40 (weight) = 36.4
• Quizzes: 81 (average) x 0.30 (weight) = 24.3
• Tests: 59 (average) x 0.30 (weight) = 17.7

Adding these weighted scores together, we obtain the final grade:

36.4 + 24.3 + 17.7 = 78.4

Therefore, the final grade is 78.4. None of the multiple choice options (A) 74.2, (B) 75.8, (C) 77.6, or (D) 79.3 matches exactly, but the closest option to our calculated value is (D) 79.3.