Question

Brandy has an 84 homework average, a 91 quiz average, and an 86 final exam average in her Algebra 2 class. If Homework is 40% of her grade, Quizzes are 40% of her grade, and the Final Exam is 20%, what is her class average?

Answer 1

To determine Brandy's class average, the individual averages for homework, quizzes, and the final exam are multiplied by their respective weights and then summed up, resulting in a class average of 87.2.

Step-by-step explanation:

To calculate Brandy's class average, we need to apply the weighted average formula, which takes into account the proportion of each component (homework, quizzes, and final exam) in the overall grade. We know that Homework has a weight of 40%, Quizzes also have a weight of 40%, and the Final Exam has a weight of 20%. Using Brandy's average scores in these components, we can calculate her class average as follows:

• Homework average: 84 (40% of grade)
• Quiz average: 91 (40% of grade)
• Final Exam average: 86 (20% of grade)

The class average is calculated by:

1. Multiplying each average by its respective percentage.
2. Adding these values together.

The formula for the calculation is:

(Homework average × 0.40) + (Quiz average × 0.40) + (Final Exam average × 0.20)

=(84 × 0.40) + (91 × 0.40) + (86 × 0.20)

=33.6 + 36.4 + 17.2

=87.2

Brandy's class average is 87.2.