How does the British peppered moth support the theory of natural selection?

The Peppered moth avoids predation by using camouflage to blend int to tree bark. It was originally white with black spots. However in the industrial revolution when the local trees were blacked by soot from the factory chimneys, a black variant with white spots became prevalent in these regions.

In the areas of pollution the black version blended in and the white stood out so natural selection changed the appearance of the population in these areas.