Answer
$y=156$
Work Step by Step
To find the solution of the question, a 3-step procedure must be followed:
Step (1): As $y$ varies directly as $x$, we have
$y=kx$
Here $k$ is a constant.
Step (2).
Substitute $x=5$ and $y=65$ in $y=kx$ to calculate the value of k.
$\begin{align}
& 65=k\left( 5 \right) \\
& \frac{65}{5}=k \\
& k=13
\end{align}$
Step (3). Substitute $k=13$ and $x$ = 12 in $y=kx$.
$\begin{align}
& y=13\times 12 \\
& y=156 \\
\end{align}$
