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.