If I currently have a 77% in my course, and I have final that's worth 30%, how would a score of exactly 0% or 100% on the final affect my current grade in the course?

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.

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.

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.

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