Question

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

Answer 1

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.

Answer 2

Answer:

The answer in the attached figure

Step-by-step 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