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

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 Link

calculista calculista · Answer 2 · 2018-12-05T17:56:01+01:00

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 [tex]y*x=k[/tex] or [tex]y=k/x[/tex]

In this problem we have

[tex]k=4[/tex]

so

the equation is equal to [tex]y*x=4[/tex] or [tex]y=4/x[/tex]

For [tex]x=1[/tex] --------> [tex]y=4/1=4[/tex]

For [tex]x=2[/tex] --------> [tex]y=4/2=2[/tex]

For [tex]x=3[/tex] --------> [tex]y=4/3=1.33[/tex]

For [tex]x=4[/tex] --------> [tex]y=4/4=1[/tex]

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