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.

Question

Social Studies

Shah

27 March, 11:20

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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Answers (1)

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Remington Serrano · Answer 1

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