Explanation:
If \(y\) varies directly with \(x\), it means there exists a constant \(k\) such that \(y = kx\).
Given that \(y = 2\) when \(x = 4\), you can use this information to find the constant \(k\):
\[2 = k \times 4\]
Solving for \(k\), you get \(k = \frac{2}{4} = \frac{1}{2}\).
Now that you have the constant \(k\), you can use it to find the value of \(y\) when \(x = 11\):
\[y = \frac{1}{2} \times 11\]
\[y = \frac{11}{2}\]
So, when \(x = 11\), the value of \(y\) is \(\frac{11}{2}\) or 5.5.