Which algebraic equation represents the words:

Question

Twenty percent of your grade is 80 points. What was your grade?
answers,

A. .20x = 80

B. .20 = 80x

C. 20x = 80

D. 20/80 = x

Answer 1

To translate the statement "Twenty percent of your grade is 80 points" into an algebraic equation, we can let \( x \) represent your grade.

The phrase "Twenty percent of your grade" can be expressed as \( 0.20x \). According to the statement, this equals 80 points. Therefore, the correct equation would be:

\[ 0.20x = 80 \]

This corresponds to option A:

A. .20x = 80

So the correct answer is A.

Answer 2

i want the correct answer and explain

Answer 3

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, let’s 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.