Question

Janine completed a history class this semester with a weighted grading system. Within this course, homework was 5% of her grade, quizzes were 10%, projects were 25%, and exams were 60%. Below is a summary of each category. Use the information provided to calculate Janine's final grade in the course. Do not round until the final step, and round to the nearest whole number.

Answer 1

To calculate Janine's final grade, we use the weighted grading system, where homework contributes 5%, quizzes 10%, projects 25%, and exams 60%. The formula for the final grade is:

`\[ \text{Final Grade} = 0.05 * \text{Homework} + 0.10 * \text{Quizzes} + 0.25 * \text{Projects} + 0.60 * \text{Exams}.\]`

Step-by-step explanation:

In this weighted grading system, Janine's performance in each category is multiplied by the respective weight, and the sum of these weighted scores gives her final grade. Let's denote Janine's scores in each category as
`\( \text{Homework}_s, \text{Quizzes}_s, \text{Projects}_s, \) and \( \text{Exams}_s \).`

1. Calculate the weighted scores:

`\[\text{Homework} = 0.05 * \text{Homework}_s, \]`

`\[\text{Quizzes} = 0.10 * \text{Quizzes}_s, \]`

`\[\text{Projects} = 0.25 * \text{Projects}_s, \]`

`\[\text{Exams} = 0.60 * \text{Exams}_s.\]`

2. Substitute these into the final grade formula:

`\[\text{Final Grade} = 0.05 * \text{Homework}_s + 0.10 * \text{Quizzes}_s + 0.25 * \text{Projects}_s + 0.60 * \text{Exams}_s.\]`

3. Calculate the final grade by plugging in Janine's actual scores for each category, ensuring no rounding until the final step, and then rounding to the nearest whole number, as per the given instructions.

Following this method ensures an accurate calculation of Janine's final grade, accounting for the specific weights assigned to each category in the course.