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.
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%.