As given by the question
There are given that the x varies directly as y.
That means,
As y increases, x will increase and y decreases, x will decrease.
Now,
From the formula:
[tex]y=kx[/tex]Then,
Fromthe given question,
x is 30 when y is 6
So,
[tex]\begin{gathered} y=kx \\ 6=k(30) \\ k=\frac{6}{30} \\ k=\frac{1}{5} \end{gathered}[/tex]Now,
Find x when y is 9
So,
[tex]\begin{gathered} y=kx \\ 9=\frac{1}{5}x \\ 45=x \end{gathered}[/tex]Hence, the value of x is 45.
