# If z varies inversely as w, and z=10 when w=1/2, how do you find z when w=10?

##### 1 Answer

#### Answer:

#### Explanation:

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

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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

But

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At