Questions: Select the option which represents the expression y = 4x

Select the option which represents the expression y = 4x
Transcript text: 5. Select the option which represents the expression y = 4x
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Solution

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Solution Steps

To solve the problem of selecting the option that represents the expression \( y = 4x \), we need to evaluate each option to see if it matches the given linear equation. This involves checking if the relationship between \( y \) and \( x \) in each option is consistent with multiplying \( x \) by 4 to get \( y \).

Step 1: Understanding the Expression

The given expression is \( y = 4x \). This is a linear equation where the value of \( y \) is four times the value of \( x \).

Step 2: Evaluating Each Option

We need to evaluate each option to determine if it satisfies the equation \( y = 4x \).

  • Option 1: \( (x, y) = (1, 4) \)

    • Calculate \( 4 \times 1 = 4 \)
    • Since \( y = 4 \), this option satisfies the equation.

  • Option 2: \( (x, y) = (2, 8) \)

    • Calculate \( 4 \times 2 = 8 \)
    • Since \( y = 8 \), this option satisfies the equation.

  • Option 3: \( (x, y) = (3, 9) \)

    • Calculate \( 4 \times 3 = 12 \)
    • Since \( y \neq 9 \), this option does not satisfy the equation.

  • Option 4: \( (x, y) = (4, 16) \)

    • Calculate \( 4 \times 4 = 16 \)
    • Since \( y = 16 \), this option satisfies the equation.

Final Answer

The options that represent the expression \( y = 4x \) are:

  • Option 1: \( (1, 4) \)
  • Option 2: \( (2, 8) \)
  • Option 4: \( (4, 16) \)

Thus, the correct options are \(\boxed{1, 2, 4}\).

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