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13 October, 14:24

A friend has a 83% average before the final exam for a course. That score includes everything but the final, which counts for 30% of the course grade.

A : What is the best course grade your friend can earn?

B: What is the minimum score would your friend would need on the final to earn a 75% for the course?

Give answers accurate to at least one decimal place.

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  1. 13 October, 14:49
    0
    88.1% 56.3%

    Step-by-step explanation:

    If f represents the score on the final exam, the final grade (g) is ...

    g = 83%*0.70 + f*0.30

    g = 58.1% + 0.30f

    A. If f is 100%, then the resulting final grade is

    g = 58.1% + 0.30*100% = 88.1%

    __

    B. To earn 75%, the grade on the final would need to be ...

    75% = 58.1% + 0.30f

    16.9% = 0.30f

    16.9%/0.30 = f ≈ 56.3%
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