If y varies inversely as x, and y = 12 when x = 6, what is K, the variation constant?
y varies inversely as x ----> y = k(1/x)
k = xy
then
k = 6(12) = 72
To find the variation constant, K, you need to use the equation for inverse variation.
Inverse variation is represented by the equation: y = K/x
Start by plugging in the given values into the equation. It is given that y = 12 and x = 6.
So we have 12 = K/6.
Now, to solve for K, we can multiply both sides of the equation by 6.
12 * 6 = K
This simplifies to:
72 = K
Therefore, K, the variation constant, is equal to 72.