Assume you are a student in this class. With 1 week until the final exam, you have a homework average of 85, a test average of 85, and a 95 on the semester project. What score must you make on the final exam to achieve at least a 90.0 overall? (Round to the nearest tenth.)
Assume you are a student in this class. With 1 week until the final exam, you have a homework average of 85, a test average of 85, and a 95 on the semester project. What score must you make on the final exam to achieve at least a 90.0 overall? (Round to the nearest tenth.)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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I am unsure of what steps I need to do to solve question number 4.
![### Chapter 1 Project: Polynomials
**Polynomials**
A chemistry professor calculates final grades for her class using the polynomial:
\[ A = 0.3f + 0.15h + 0.4t + 0.15p,\]
where \(A\) is the final grade, \(f\) is the final exam, \(h\) is the homework average, \(t\) is the chapter test average, and \(p\) is the semester project.
The following table contains the grades for various students in the class:
| Name | Final Exam | Homework Avg. | Test Avg. | Project |
|-----------|-------------|----------------|------------|---------|
| Alex | 77 | 95 | 79 | 85 |
| Ashley | 91 | 95 | 88 | 90 |
| Barron | 82 | 85 | 81 | 75 |
| Elizabeth | 75 | 100 | 84 | 80 |
| Gabe | 94 | 90 | 90 | 85 |
| Lynn | 88 | 85 | 80 | 75 |
#### Questions:
1. **Find the course average for each student, rounded to the nearest tenth.**
2. **Who has the highest total score?**
3. **Why is the total grade raised more with a grade of 100 on the final exam than with a grade of 100 on the semester project?**
4. **Assume you are a student in this class. With 1 week until the final exam, you have a homework average of 85, a test average of 85, and a 95 on the semester project. What score must you make on the final exam to achieve at least a 90.0 overall? (Round to the nearest tenth.)**
### Steps for Calculation
To find the course average for each student, use the provided polynomial formula. For example, to calculate Alex's final grade:
\[ A = 0.3(77) + 0.15(95) + 0.4(79) + 0.15(85) \]
Breaking it down:
\[ A = 23.1 + 14.25 + 31.6 + 12.75 = 81.7](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6442e549-4fc6-4147-9aa2-6421ff276d66%2F4191dee0-02eb-4ca2-9542-db1282ceca0d%2F6kcvq5d_reoriented.jpeg&w=3840&q=75)
Transcribed Image Text:### Chapter 1 Project: Polynomials
**Polynomials**
A chemistry professor calculates final grades for her class using the polynomial:
\[ A = 0.3f + 0.15h + 0.4t + 0.15p,\]
where \(A\) is the final grade, \(f\) is the final exam, \(h\) is the homework average, \(t\) is the chapter test average, and \(p\) is the semester project.
The following table contains the grades for various students in the class:
| Name | Final Exam | Homework Avg. | Test Avg. | Project |
|-----------|-------------|----------------|------------|---------|
| Alex | 77 | 95 | 79 | 85 |
| Ashley | 91 | 95 | 88 | 90 |
| Barron | 82 | 85 | 81 | 75 |
| Elizabeth | 75 | 100 | 84 | 80 |
| Gabe | 94 | 90 | 90 | 85 |
| Lynn | 88 | 85 | 80 | 75 |
#### Questions:
1. **Find the course average for each student, rounded to the nearest tenth.**
2. **Who has the highest total score?**
3. **Why is the total grade raised more with a grade of 100 on the final exam than with a grade of 100 on the semester project?**
4. **Assume you are a student in this class. With 1 week until the final exam, you have a homework average of 85, a test average of 85, and a 95 on the semester project. What score must you make on the final exam to achieve at least a 90.0 overall? (Round to the nearest tenth.)**
### Steps for Calculation
To find the course average for each student, use the provided polynomial formula. For example, to calculate Alex's final grade:
\[ A = 0.3(77) + 0.15(95) + 0.4(79) + 0.15(85) \]
Breaking it down:
\[ A = 23.1 + 14.25 + 31.6 + 12.75 = 81.7
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