Answer:
- If you score a 0% on your exam, you get 53.9% as your overall grade
- If you score 100% on your exam, you get 83.9% as your overall grade
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Explanation:
Your final is worth 30% of your grade, so the other 70% is what you've already done so far
The expression below
0.30x + 0.70*0.77
represents what your final grade would be in decimal form. We multiply the weights 0.30 and 0.70 with each of their corresponding grade value.
The x represents the decimal form of the final exam score.
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Let's say you get a 0% on the final. That would mean x = 0 and
0.30x + 0.70*0.77
0.30*0 + 0.70*0.77
0.539
So you'd end up with a 53.9% as the overall grade.
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Now let's say you get 100% on the final. We plug in x = 1 since it's the decimal form of 100%
So,
0.30x + 0.70*0.77
0.30*1 + 0.70*0.77
0.839
You would end up with a 83.9% as the overall grade.
