Find the variation constant and an equation of variation where y varies directly as x and y =4 when x=1.
the variation constant is K=
the variation constant is y =
To find the variation constant and the equation of variation, we need to use the given information that y varies directly as x and y = 4 when x = 1.
In direct variation, the equation of variation is in the form y = kx, where k is the variation constant.
Given that y = 4 when x = 1, we can substitute these values into the equation to find the value of k:
4 = k * 1
This simplifies to:
k = 4
So, the variation constant, k, is 4.
Now let's find the equation of variation:
Using the value of k in the equation y = kx, we have:
y = 4x
This is the equation of variation where y varies directly as x.