https://file.aiquickdraw.com/mathbot/file/1725722892151vjqtqo46.jpg

The image contains a math problem related to calculating a final grade based on a series of components, which includes quizzes, a lab score, and final exam scores. Here is a transcription of the problem:

---
**QUESTION 4**  
In your biology class, your final grade is based on several things: a lab score, scores on five (5) major tests, and your score on the final exam. There are 300 points available for each term. However, the lab score is worth 25% of your total grade, each major test is worth 10%, and the final exam is worth 25%. Complete the weighted average for the biology course. 85% on the lab, 87% on the 1st major test, 92% on the second major test, and 88% on the final exam. If the major test averages for the 3rd, 4th, and 5th are 81, 85, and 87, what is your final grade?

---

Let's break it down:

1. The **lab score** is worth **25%** of the total grade.
2. There are **5 major tests**, each worth **10%** of the total grade.
3. The **final exam** is worth **25%** of the total grade.

### Step-by-Step Solution:
1. **Lab score:**  
   The lab score is 85% and it is worth 25% of the final grade.  
   Contribution to final grade = \( 85\% \times 0.25 = 21.25\% \)

2. **Major tests:**  
   The first major test score is 87%, the second is 92%, and the last three are 81%, 85%, and 87%.  
   Contribution to final grade for each test:  
   \( (87\% + 92\% + 81\% + 85\% + 87\%) \times 0.10 = 86.4\% \times 0.10 = 8.64\% \)

3. **Final exam:**  
   The final exam score is 88%, and it is worth 25% of the final grade.  
   Contribution to final grade = \( 88\% \times 0.25 = 22\% \)

4. **Total final grade:**
   Sum up the contributions:  
   \( 21.25\% + 8.64\% + 22\% = 86.14\% \)

Your final grade is **86.14%**.

Would you like any further details on this solution or have any specific questions?

---

Here are 5 related questions you might explore:
1. How would the final grade change if the lab score was 90% instead of 85%?
2. What if the final exam score was 95%? How would that affect the final grade?
3. How could you improve your final grade if you wanted to reach at least 90%?
4. What would happen if each major test had different weights instead of equal weights?
5. How would the final grade be affected if one of the major tests was missed?

**Tip:** When calculating weighted averages, always multiply each component by its respective weight, then sum the contributions to get the final result.

In your biology class, your final grade is based on several things: a lab score, scores on five (5) major tests, and your score on the final exam. There are 300 points available for each term. However, the lab score is worth 25% of your total grade, each major test is worth 10%, and the final exam is worth 25%. Complete the weighted average for the biology course. You received 85% on the lab, 87% on the 1st major test, 92% on the second major test, 81%, 85%, and 87% on the last three major tests, and 88% on the final exam. What is your final grade?

Learn how to calculate the final grade in a biology class by applying weighted averages. This problem involves calculating the contribution of lab scores, major test scores, and a final exam to the overall grade. Perfect for high school students studying weighted averages and percentage calculations.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation