# How do you find an equation of variation: y varies inversely as the square of x, and y = 0.15 when x= 0.1?

##### 1 Answer

Apr 5, 2016

#### Answer:

Or if you prefer

Or as scientific notation:

#### Explanation:

Splitting the question down into its component parts:

y varies inversely as:

the square of

But we need a constant of variation

Let the constant of variation be

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Known condition: at

So by substitution we have

To calculate this directly think of

Then we have:

So the equation becomes:

Or if you prefer

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~