The final grade in an algebra course is based on a weighted average - homework counts 10%, quizzes count 10%, tests count 50%, and the final exam counts 30%. A student has a homework average of 96, quiz average of 88, and a test average of 84. What is the minimum score a student needs to score on the final exam to earn at least a 90 for the final course grade? (Round to the nearest tenth.)

Answer: 98.7

Step-by-step explanation:

Homework + Quiz + Test + Final Exam = 90

96 (10%) + 88 (10%) + 84 (50%) + x (30%) = 90

9.6 + 8.8 + 42 + 0.30x = 90

60.4 + 0.30x = 90

0.30x = 29.6

x = 98.7

The minimum score is 98.7

x = 98.7

Step-by-step explanation:

To find the minimum score a student needs to score on the final exam to earn at least a 90 for the final course grade, we will multiply the student's scores with their respective weight-age.

Supposing the score in the final exam to be x, we can write an equation:

Homework + quizzes + tests + final exam = 90

96 (10%) + 88 (10%) + 84 (50%) + x (30%) = 90

9.6 + 8.8 + 42 + 0.3x = 90

60.4 + 0.3x = 90

0.3x = 29.6

x = 98.7