Answer
Inverse
y = 48/x
Step-by-step explanation
In inverse variations, the variables x and y are related by the next formula:
[tex]y\cdot x=k[/tex]
where k is some constant.
Then, if we multiply the x-values and y-values from the table, the results must be constant.
[tex]\begin{gathered} k=24\cdot2=48 \\ k=12\cdot4=48 \\ k=8\cdot6=48 \\ k=6\cdot8=48 \end{gathered}[/tex]
In consequence, the relationship is inverse, and the equation that relates the variables is:
[tex]\begin{gathered} y\cdot x=48 \\ \frac{y\cdot x}{x}=\frac{48}{x} \\ y=\frac{48}{x} \end{gathered}[/tex]
