The quantity y varies directly with the square of x and inversely with z. When x is 9 and z is 27, y is 6. What is the constant of variation?
1 Answer
May 22, 2017
The constant of variation is
Explanation:
To say that a variable "varies directly" with some quantity, we mean that the variable scales with that quantity. In this example, that means the scaling of
We're also given that
We can take the information given and form it into a single equation like this:
#y=kx^2/z#
The
#6=k*(9^2)/(27)#
#6=k*81/27#
#6=k*3#
#2=k#