Question

The pair of values below is form an inverse variation find the missing value (3,16) (10,y)

Answer 1

An inverse variation is represented as:

`y=(k)/(x)`

To find the missing value we need to find k first. Using the first pair we have:

`\begin{gathered} 16=(k)/(3) \\ k=3\cdot16 \\ k=48 \end{gathered}`

Now, we plug the value of k and use the second pair to find y:

`\begin{gathered} y=(48)/(10) \\ y=(24)/(5) \end{gathered}`

Therefore, y=24/5.