Yvaries inversely with x. if x = 4 when y = 3, what's the value of y when x = 6

If and when you see, "Y Varies Inversely With X," write the function y = k/x.  Here, k is the "constant of proportion."

Next, find the value of k.  If y = k/x, and if x=4 when y=3, then 3=k/4.

Multiply both sides by 4 to find k:  4(3) = k = 12

Then y = 12/x

"what's the value of Y when X = 6?"         let x = 6 in y = 12/x.

We get y = 12/6 = 2 (answer)