Ask a New Question
Menu

Which algebraic equation represents the words:

Twenty percent of your grade is 80 points. What was your grade?
A. .20 = 80x
B. 20/80 = x
C. 20x = 80
D. 20x = 80

3 answers

To represent the statement "Twenty percent of your grade is 80 points," we can translate it into an algebraic equation.

Let \( x \) be your grade. According to the statement, 20% of \( x \) equals 80 points.

In equation form, this can be expressed as:

\[ 0.20x = 80 \]

If we rewrite \( 0.20 \) as \( \frac{20}{100} \), we get:

\[ \frac{20}{100}x = 80 \quad \Rightarrow \quad 20x = 80 \cdot 100 \quad \Rightarrow \quad 20x = 8000 \]

However, a simplified version is \( 0.20x = 80 \) when isolating \( x \).

None of the provided options directly reflect the expression \( 0.20x = 80 \), but option C correctly simplifies the initial relationship.

So, the correct algebraic equation that best matches the phrase is: C. \( 20x = 80 \) (with the understanding that it can be simplified further as \( 0.20x = 80 \)).

are you sure this is correct

Let’s clarify the equation based on the problem statement.

The statement is "Twenty percent of your grade is 80 points."

  1. Twenty percent of your grade (let's denote your grade as \( x \)) can be expressed as \( 0.20x \).
  2. This is equal to 80 points.

So, we can write the equation as: \[ 0.20x = 80 \]

To put this in a different equivalent form, multiply both sides by 100 to eliminate the decimal: \[ 20x = 8000 \]

However, the way the original relationship can directly relate to grade would typically just fine to say: \[ 0.20x = 80 \] The original options provided included two instances of \( 20x = 80\), which could probably be a misprint since the correct representation of \(x\) should express that 20% of the grade \(x\) equals 80.

Looking at your options again:

  • A. \( .20 = 80x\)
  • B. \( \frac{20}{80} = x\)
  • C. \( 20x = 80\)
  • D. \( 20x = 80\)

Given the context, option C (and D, which is the exact same) suggests that \( 20x = 80 \), while it does not reflect the original statement correctly without the percentage context.

In Conclusion

The accurate way to phrase the equation based on the problem is: \[ 0.20x = 80 \] However, because this specific form isn't among the options, \( 20x = 80 \) seems the most closely related as it simplifies to \( x = 4 \), hence suggesting a whole scenario that could be checked in prior steps.

Sorry for any confusion earlier! The correct interpretation of twenty percent being equal is essential in grading calculations.