Math Problem Statement
Solution
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:
- The lab score is worth 25% of the total grade.
- There are 5 major tests, each worth 10% of the total grade.
- The final exam is worth 25% of the total grade.
Step-by-Step Solution:
-
Lab score:
The lab score is 85% and it is worth 25% of the final grade.
Contribution to final grade = -
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:
-
Final exam:
The final exam score is 88%, and it is worth 25% of the final grade.
Contribution to final grade = -
Total final grade: Sum up the contributions:
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:
- How would the final grade change if the lab score was 90% instead of 85%?
- What if the final exam score was 95%? How would that affect the final grade?
- How could you improve your final grade if you wanted to reach at least 90%?
- What would happen if each major test had different weights instead of equal weights?
- 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.
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Math Problem Analysis
Mathematical Concepts
Weighted Average
Percentage Calculations
Formulas
Weighted Score = Score × Weight
Final Grade = Sum of Weighted Scores
Theorems
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Suitable Grade Level
Grades 9-12
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