If $x$ and $y$ vary directly and $y$ is 65 when $x$ is 13 , find $y$ when $x$ is 3 . Answer Attempt 1 out of 2

Step 1 ：Since \(x\) and \(y\) vary directly, we can say that \(y = kx\) for some constant \(k\).

Step 2 ：Given that \(y\) is 65 when \(x\) is 13, we can substitute these values into the equation to find \(k\):

Step 3 ：\(65 = 13k\)

Step 4 ：Solving for \(k\), we get \(k = \frac{65}{13}\)

Step 5 ：So, \(k = 5\)

Step 6 ：Now that we know \(k\), we can find \(y\) when \(x\) is 3:

Step 7 ：\(y = 5 * 3\)

Step 8 ：\(y = 15\)

Step 9 ：So, when \(x\) is 3, \(y\) is \(\boxed{15}\)