Question

Y is directly related to X , and Y is 81 when X is 27. The constant of variation is

Answer 1

Since x and y are directly related, the equation for their comparison will look like

kx = y

where k is your constant. They give you an instance in the problem where x = 27 and y = 81. Plug this into the above equation and solve for k.

kx = y
k (27) = 81
k = 3

Thus, the constant of variation is 3.

Answer 2

Answer:  3

Step-by-step explanation:

When a variable is directly varies to variable y , then the equation for direct  variation is given by :_

$y=kx$                                (1)

, where k is the constant of variation.

We are given that ,

Y is directly related to X , and Y is 81 when X is 27.

Put x= 27 and y= 81 in (1) , we get

$81=k(27)$          

Divide both sides by 27  , we get

$3=k$   or $k=3$

That is , the constant of variation = 3