Answer:
Y varies directly with x.
This can be represented below as
[tex]\begin{gathered} y\propto x \\ y=kx \end{gathered}[/tex]Substitute the value of y=24 and x=6 to find the value of k
[tex]\begin{gathered} y=kx \\ 24=6k \\ divide\text{ both sides by 6} \\ \frac{6k}{6}=\frac{24}{6} \\ k=4 \end{gathered}[/tex]Substitute k=4 to get the equation connecting y and x
[tex]\begin{gathered} y=kx \\ y=4x \end{gathered}[/tex]Substitute the value of x=8 to get the value of y
[tex]\begin{gathered} y=4x \\ y=4\times8 \\ y=32 \end{gathered}[/tex]Hence,
The value of y when x= 8 is
[tex]\Rightarrow y=32[/tex]