Complete the diagram with an expression that represents the rule, “double the input, then add 3.”

Question

input
x
rule
Input Output Arrow
Input Output Arrow
output
y

Answer 1

To express the rule "double the input, then add 3" in a mathematical format, we start by identifying the input, which is represented by \( x \) and the output, represented by \( y \).

First, we double the input \( x \), which is represented by \( 2x \). Then, we add 3 to this result. The final expression that represents the output \( y \) will be:

\[ y = 2x + 3 \]

So, you would complete your diagram as follows:

• Input: \( x \)
• Rule: Double the input, then add 3
• Output: \( y \)

In this version, the output can be expressed clearly as:

\[ y = 2x + 3 \]

The completed diagram would show how the input \( x \) goes through the rule (where it is doubled and then increased by 3) to produce the output \( y \).