Try This Arden completes the course and receives the following grades for the second half of the semester. Category Grade Quiz 80 Quiz 60 Lab 100 Quiz 90 Quiz 50 Lab 80 Exam 100 What are the student’s total averages for the entire semester in each category (quiz, lab, and exam)? Write expressions for each of them, and solve them. What grade did Arden receive for the course? Would you be happy with this grade if it were you taking the course? Why or why not? Which category should Arden have spent more time on to improve her grade? Explain your answer.
To find the total averages for the entire semester in each category, we need to calculate the average of all the grades in that category:
Quiz average = (80 + 60 + 90 + 50) / 4 = 70
Lab average = (100 + 80) / 2 = 90
Exam average = 100
So, the expressions for each category are:
Quiz average = (80 + 60 + 90 + 50 + Quiz grade) / 5
Lab average = (100 + 80 + Lab grade) / 3
Exam average = (100 + Exam grade) / 2
To solve for the quiz, lab, and exam grades, we can set up the following equations:
70 = (80 + 60 + 90 + 50 + Quiz grade) / 5
90 = (100 + 80 + Lab grade) / 3
100 = (100 + Exam grade) / 2
Solving the equations, we get:
Quiz grade = 90
Lab grade = 100
Exam grade = 100
Arden's final grade for the course is 96.67, which is an A. If it were me taking the course, I would be happy with this grade as it indicates a strong performance overall. Arden should have spent more time on quizzes to improve her grade, as her quiz average was lower compared to her lab and exam averages.