Questions: 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 81% on the final. Determine Marissa's course average. Marissa's course average is %. (Type an integer or a decimal. Do not round.)

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 81% on the final. Determine Marissa's course average. Marissa's course average is %. (Type an integer or a decimal. Do not round.)
Transcript text: 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 $81 \%$ on the final. Determine Marissa's course average. Marissa's course average is $\square$ \%. (Type an integer or a decimal. Do not round.)
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Solution

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Solution Steps

Step 1: Convert all inputs to decimal form
  • Attendance weight: 0.15, Attendance average: 1
  • Quizzes weight: 0.2, Quizzes average: 0.93
  • Exams weight: 0.5, Exams average: 0.82
  • Final exam weight: 0.15, Final exam average: 0.81
Step 2: Calculate the weighted contributions of each component
  • Weighted attendance: 0.15
  • Weighted quizzes: 0.186
  • Weighted exams: 0.41
  • Weighted final: 0.121
Step 3: Sum all the weighted contributions to find the overall course average
  • Course average (decimal): 0.867

Final Answer:

The overall course average is 87%

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