Certainly! Let's break it down step by step.
The phrase "Twenty percent of your grade is 80 points" can be translated into an algebraic equation by following these steps:
1. **Identify the variable**: Let \( x \) represent your overall grade.
2. **Understanding "Twenty percent of your grade"**:
- "Twenty percent" can be written as a decimal, which is \( 0.20 \).
- Therefore, "Twenty percent of your grade" can be expressed as \( 0.20x \).
3. **Setting up the equation**:
- According to the statement, this amount (which is \( 0.20x \)) is equal to 80 points.
- This gives us the equation:
\[
0.20x = 80
\]
4. **Conclude**:
- This equation states that 20% of \( x \) is equal to 80 points.
Now, letβs analyze the provided answer choices:
- **A. \( 0.20x = 80 \)** - This is correct as it matches our derived equation.
- **B. \( 0.20 = 80x \)** - This does not make sense contextually, as it implies 20% equals 80 times the grade, which is incorrect.
- **C. \( 20x = 80 \)** - This would suggest 20 times the grade equals 80, which is not what the original statement is saying.
- **D. \( \frac{20}{80} = x \)** - This does not accurately represent the relationship given in the problem.
Thus, the correct algebraic equation that represents the statement is:
**A. \( 0.20x = 80 \)**
This means that 20% of your overall grade (represented as \( x \)) equals 80 points.