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.)

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Question:

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.)

Answers

Answer:  98.7Step-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 = 98.7The minimum score is 98.7

Answer:x = 98.7Step-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 = 9096(10%) + 88(10%) + 84(50%) + x(30%) = 909.6 + 8.8 + 42 + 0.3x = 9060.4 + 0.3x = 900.3x = 29.6x = 98.7

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