Respuesta :

Answer:

The constant of variation is 3

Step-by-step explanation:

Given.

[tex]y=81[/tex]

[tex]x=27[/tex]

And y is directly related to x

[tex]y[/tex] ∝ [tex]x[/tex]

Here k is constant of variation

[tex]y=kx[/tex]

[tex]k=\frac{y}{x}[/tex]--------------(1)

Put the [tex]y[/tex] and [tex]x[/tex] value in equation 1.

[tex]k=\frac{81}{27}[/tex]

[tex]k=3[/tex]

So, the constant of variation is 3.