Question

input output 1 5 2 6 3 7 4 8 5 9 which equation represents the relationship between x and y? ○ $y = x + 4$ ○ $x = 4 + y$ ○ $y = 4x$ ○ $x = 4y$

Explanation:

Step1: Test the first option

Take \( x = 1 \), substitute into \( y=x + 4 \), we get \( y=1 + 4=5 \), which matches the first output.

Step2: Test the second option

Take \( x = 1 \), substitute into \( x = 4 + y \), we get \( 1=4 + y\), then \( y=- 3 \), which does not match the first output.

Step3: Test the third option

Take \( x = 1 \), substitute into \( y = 4x \), we get \( y=4\times1 = 4\), which does not match the first output.

Step4: Test the fourth option

Take \( x = 1 \), substitute into \( x = 4y \), we get \( 1 = 4y\), then \( y=\frac{1}{4}\), which does not match the first output.

Answer:

A. \( y = x + 4 \)