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 CalculationTo 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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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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Question

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

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