Question

I will take a closer picture of the numbers for u

Answer 1

Inverse

y = 48/x

Explanation

In inverse variations, the variables x and y are related by the next formula:

`y\cdot x=k`

where k is some constant.

Then, if we multiply the x-values and y-values from the table, the results must be constant.

`\begin{gathered} k=24\cdot2=48 \\ k=12\cdot4=48 \\ k=8\cdot6=48 \\ k=6\cdot8=48 \end{gathered}`

In consequence, the relationship is inverse, and the equation that relates the variables is:

`\begin{gathered} y\cdot x=48 \\ (y\cdot x)/(x)=(48)/(x) \\ y=(48)/(x) \end{gathered}`