Questions: In Marissa's calculus course, attendance counts for 10% of the grade, quizzes count for 15% of the grade, exams count for 55% of the grade, and the final exam counts for 20% of the grade. Marissa had a 100% average for attendance, 89% for quizzes, 86% for exams, and 85% 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 10% of the grade, quizzes count for 15% of the grade, exams count for 55% of the grade, and the final exam counts for 20% of the grade. Marissa had a 100% average for attendance, 89% for quizzes, 86% for exams, and 85% 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 $10 \%$ of the grade, quizzes count for $15 \%$ of the grade, exams count for $55 \%$ of the grade, and the final exam counts for $20 \%$ of the grade. Marissa had a $100 \%$ average for attendance, $89 \%$ for quizzes, $86 \%$ for exams, and $85 \%$ 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: 0.1, Attendance average: 1
  • Quizzes weight: 0.15, Quizzes average: 0.89
  • Exams weight: 0.55, Exams average: 0.86
  • Final exam weight: 0.2, Final exam average: 0.85
Step 2: Calculate the weighted contributions of each component
  • Weighted attendance: 0.1
  • Weighted quizzes: 0.134
  • Weighted exams: 0.473
  • Weighted final: 0.17
Step 3: Sum all the weighted contributions to find the overall course average
  • Course average (decimal): 0.877

Final Answer:

The overall course average is 88%

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