In Marissa's calculus course, attendance counts for 20% of the grade, quizzes count for 15% of the grade, exams count for 45% of the grade, and the final exam counts for 20% of the grade. Marissa had a 100% average for attendance, 93% for quizzes, 82% for exams, and 85% on the final. Determine Marissa's course average.
6 years ago
1 year ago
To determine Marissa's course average, we need to calculate the weighted average of her grades in each category.
First, let's calculate the weighted average for attendance:
Weighted Attendance Grade = Attendance Grade * Attendance Weight
= 100% * 20%
= 20%
Next, let's calculate the weighted average for quizzes:
Weighted Quiz Grade = Quiz Grade * Quiz Weight
= 93% * 15%
= 13.95%
Then, let's calculate the weighted average for exams:
Weighted Exam Grade = Exam Grade * Exam Weight
= 82% * 45%
= 36.9%
Finally, let's calculate the weighted average for the final exam:
Weighted Final Exam Grade = Final Exam Grade * Final Exam Weight
= 85% * 20%
= 17%
Now, we can calculate Marissa's course average by summing up the weighted averages for each category:
Course Average = Weighted Attendance Grade + Weighted Quiz Grade + Weighted Exam Grade + Weighted Final Exam Grade
= 20% + 13.95% + 36.9% + 17%
= 87.85%
Therefore, Marissa's course average is 87.85%.