Inverse variation has many applications in science as
illustrated in the following example.
Example 15
The force, F, which acts between two magnetic poles varies
inversely as the square of the distance, d, between them. If F
= 16 when d = 3, find d when F = 9. Describe
your answer in words.
Solution:

Substituting for k in (1) gives:

This is the formula which relates F and d.

So, the distance between the magnetic poles is 4 units. |