Question

50 points!!! If your good at math please help! :)

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

The constant of variation is ___
(there are no answer choices, it's just a type in box so i need an exact answer please! :))

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

So, the constant of variation is 3.