Question

Which function rule would help you find the values in the table?J K2 -124 -246 -368 -48A k=-12jB k=-6jC k=j - 12D k=j - 6

Answer 1

As seen from the table

For each values of the table

We define the variation from K to J

`\begin{gathered} K\propto J \\ K=cJ\text{ (where c is constant of proportionality)} \end{gathered}`

When J = 2, K = -12

`\begin{gathered} K=cJ \\ -12=c(2) \\ 2c=-12 \\ c=-(12)/(2) \\ c=-6 \end{gathered}`

Therefore, the formula connecting them will be

`k=-6j`

Option B