Question

how much will a 48% on a quiz bring down a 71% grade?

Answer 1

To calculate how a 48% score on a quiz will affect a 71% overall grade, you'll need to know the weight of the quiz in relation to the overall grade.

Let's assume the quiz is worth \( W \) percent of the overall grade. The calculation can be expressed as follows:

1. Calculate the current weighted score:
\[
\text{Current Grade Contribution} = 71 \times (1 - W)
\]

2. Calculate the new grade contribution from the quiz:
\[
\text{Quiz Contribution} = 48 \times W
\]

3. The new overall grade would then be:
\[
\text{New Overall Grade} = \text{Current Grade Contribution} + \text{Quiz Contribution}
\]

Substituting the formulas gives:
\[
\text{New Overall Grade} = 71 \times (1 - W) + 48 \times W
\]
\[
\text{New Overall Grade} = 71 - 71W + 48W
\]
\[
\text{New Overall Grade} = 71 - 23W
\]

You would need to plug in the weight \( W \) (as a decimal, where 100% = 1.0) to find the new grade.

For example:
- If the quiz is worth 10% of the overall grade (W = 0.1), then:
\[
\text{New Overall Grade} = 71 - 23(0.1) = 71 - 2.3 = 68.7\%
\]

- If it is worth 20% (W = 0.2):
\[
\text{New Overall Grade} = 71 - 23(0.2) = 71 - 4.6 = 66.4\%
\]

You can use this formula to determine the new grade based on the weight of the quiz. Please provide the weight of the quiz if you want a specific calculation.