Question

In a function, y varies inversely with x. The constant of variation is 4. Which table could represent the function?

Answer 1

The answer in the attached figure

Explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form
`y*x=k` or
`y=k/x`

In this problem we have

`k=4`

so

the equation is equal to
`y*x=4` or
`y=4/x`

For
`x=1` -------->
`y=4/1=4`

For
`x=2` -------->
`y=4/2=2`

For
`x=3` -------->
`y=4/3=1.33`

For
`x=4` -------->
`y=4/4=1`

see a table that could represent the function in the attached figure

Answer 2

the equation will be y=4/x. u can make the table of variables by inserting the values of x in the equation. for suppose here, if x=1 then y=4 , x=2 then y=2 and so on.