To represent the rule "double the input, then add 3" using the variable \( x \) for the input, we can follow the step-by-step breakdown:
- Double the input \( x \): This is represented as \( 2x \).
- Then add 3 to the result of doubling the input: This can be expressed as \( 2x + 3 \).
So, the expression that represents the rule "double the input, then add 3" is:
\[ y = 2x + 3 \]
Here’s how you would complete the diagram:
- Input: \( x \)
- Output: \( y \)
- The relationship (arrow) between them: \( y = 2x + 3 \)
This means for any input value \( x \), you would first double it, and then add 3 to get the output \( y \).