For this case we have that the inverse variation is defined as:
[tex]y = \frac {k} {x}[/tex]
Where:
k: It is the constant of proportionality
According to the statement we have:
[tex]x = 27\\y = 6\\6 = \frac {k} {27}[/tex]
We find the constant of proportionality:
[tex]k = 27 * 6\\k = 162[/tex]
Then we find the value of x when [tex]y = 2[/tex]:
[tex]2 = \frac {162} {x}\\x = \frac {162} {2}\\x = 81[/tex]
Answer:
[tex]x = 81[/tex]
