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30 March, 15:30

On two examinations, you have grades of 8787 and 8989. There is an optional final examination, which counts as one grade. You decide to take the final in order to get a course grade of A, meaning a final average of at least 90. a. What must you get on the final to earn an A in the course? b. By taking the final, if you do poorly, you might risk the B that you have in the course based on the first two exam grades. If your final average is less than 80, you will lose your B in the course. Describe the grades on the final that will cause this to happen.

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  1. 30 March, 15:31
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    a.

    Suppose that "x" is your final exam grade.

    Then you want: (87 + 89 + x) / 3 ≥ 90

    (176 + x) / 3 ≥ 90

    We then multiply the equation by 3 and get

    176 + x ≥ 270

    Hence x ≥ (270-176)

    we get: x ≥ 94

    To get A Grade in a course, You must get at least a 94 on the final exam.

    b.

    If your final average is less than 80, You will lose your B in course

    i. e (87 + 89 + x) / 3 < 80

    (176 + x) / 3 < 80

    We then multiply the equation by 3 and get

    176 + x < 240

    Hence x < (240-176)

    we get: x < 64

    You will lose your "B" if your Final grade is less than 64
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