If y varies inversely as x, and y=12 when x=6, what is K, the variation constant?

Cross Multiplying XY = K

i.e. 6*12 = 72

So k= 72??

Similarly

If x inversely proportional to y, and x=60 when y=0.5, find x when y=12.

From the first part K = 30

So X = 30/12 = /2 = 2.5

Right??