Question

In​ Marissa's calculus​ course, attendance counts for 15​% of the​ grade, quizzes count for 20​% of the​ grade, exams count for 50​% of the​ grade, and the final exam counts for 15​% 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.

Answer 1

Marissa's course's average= = 87.35 %

Explanation:

To find Marissa's average , we can determine the average of each section by taking the product of the weight and Marissa's average from the given data.

15​% of the​ grade for attendance and a 100​% average for​ attendance

therefore, attendance = weight x (Marissa's average)

attendance = 15%*(100/100) = 15%

Quizzes counts for 20% of the grade and she had 93% for​ quizzes.

therefore, Quizzes = weigthx (Marissa's average)

Quizzes = 20%*(93/100) = 18.6 %

Exams counts for 50% of the grade and she had 82% for exams

therefore, Exams = weight x(Marissa's average)

Exams = 50%*(82/100) = 41%

The final exam counts for 15% of the grade and she had 85​% average on the final.

therefore, Finals = 15%*(85/100) = 12.75%

Next is to add all the sections in order to determine Marissa's course average.

Marissa's course's average = 15+18.6+41+12.75

Marissa's course's average= = 87.35 %

Answer 2

Her average was 87.35% on this course.

Explanation:

In order to determine Marissa's average we need to take the average she has on each of the cattegories and find how much that relates to the weight of the cattegory on the final grade. We have:

Attendance counts for 15% of the grade and she has 100% average on that. So we have:

attendance = weight*(Marissa's average)

attendance = 15%*(100/100) = 15%

Quizzes counts for 20% of the grade and she has a 93% average on that. So we have:

Quizzes = weigth*(Marissa's average)

Quizzes = 20%*(93/100) = 18.6 %

Exams counts for 50% of the grade and she has a 82% average on that. So we have:

Exams = weigth*(Marissa's average)

Exams = 50%*(82/100) = 41%

The final exam counts for 15% of the grade and she has a average of 85% on that so we have:

Finals = 15%*(85/100) = 12.75%

So her grade is the sum of all the cattegories:

Course's average = 15+18.6+41+12.75 = 87.35 %