Question

1. - / 12.5 points 0/100 submissions used in a math class, tests are 50% of your grade, homework is 30% of your grade, test reviews are 5% of your grade, and the final exam is 15% of your grade. at the end of the semester, your test average is 60, your homework average is 91, and your review average is 71. what score do you need on the final exam to get a c (72%) in the class? (round your answer to 2 decimal places.)

Explanation:

Step1: Define variables and weights

Let $x$ = final exam score.
Weights: Tests ($0.5$), Homework ($0.3$), Reviews ($0.05$), Final ($0.15$)

Step2: Set up weighted average equation

$$0.5 \times 60 + 0.3 \times 91 + 0.05 \times 71 + 0.15x = 72$$

Step3: Calculate known weighted values

$$30 + 27.3 + 3.55 + 0.15x = 72$$
$$60.85 + 0.15x = 72$$

Step4: Isolate the final exam term

$$0.15x = 72 - 60.85$$
$$0.15x = 11.15$$

Step5: Solve for x

$$x = \frac{11.15}{0.15}$$

Answer:

74.33