if you have a overall 86 in your grade book and get a 95% on a test that counts for 79% of your grade, a 83% on a test that counts for 21% of your grade, a 100% on a test that counts for 17% of your grade, and a 100% quiz grade, how much will the overall grade (86) go up?
To calculate how much your overall grade will go up, you need to determine the weight of each component that contributes to your grade.
First, calculate the weight of the test that counts for 79% of your grade:
Weight of test = (overall weight - weight of other components) = (100% - 21% - 17% - quiz grade) = 62%
Next, calculate the point increase in your overall grade after the first test:
Point increase = (test score * test weight) = (95% * 62%) ≈ 58.9%
Then, calculate the weight of the second test:
Weight of test = (overall weight - weight of other components) = (100% - 79% - 17% - quiz grade) = 4%
Calculate the point increase in your overall grade after the second test:
Point increase = (test score * test weight) = (83% * 4%) = 3.32%
Next, calculate the weight of the third test:
Weight of test = (overall weight - weight of other components) = (100% - 79% - 21% - quiz grade) = 0%
Since the test grade contributes 0% to your overall grade, your overall grade will not increase.
Finally, calculate the point increase based on the quiz grade:
Point increase = (quiz grade * quiz weight) = (100% * 0%) = 0%
Therefore, the total increase in your overall grade will be approximately 58.9% + 3.32% + 0% + 0% = 62.22%.
However, it is important to note that this calculation assumes there are no other components in your grade book and the weights remain constant.