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.)

Answer 1

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

Answer 2

Answer:

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