Chapter 1 Project | Precalculus, Third Edition

Polynomials

A chemistry professor calculates final grades for her class using the polynomial

$A = 0.3 f + 0.15 h + 0.4 t + 0.15 p$ ,

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 is a table containing the grades for various students in the class.

Name	Final Exam	Homework Average	Test Average	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	$88$	$85$	$80$	$75$

Find the final grade for each student, rounded to one decimal place.
Who has the highest total score?
Why is the final grade raised more with a grade of $100$ on the final exam than with a grade of $100$ on the semester project?
Assume you are a student in this class. With one 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 your answer to one decimal place.