If z varies inversely as w, and z=10 when w=1/2, how do you find z when w=10?
The mathematical way to show this relationship is
This is stating that they are related but you have not yet declared the constant of variation ( conversion constant).
Let the constant of variation be
All we now need to do is find the value of the constant
We are told that when z=10 the value of w is
So by substitution we have:
Multiply both side by