How does food coloring affect water temperature?

The higher the temperature, the faster it dissolves;

When a temperature reaches a certain point, it turns into a gas and gases move around faster than liquids and solids....

....EXAMPLE:

when you freeze water, it turns into a solid and does not move...

when you boil water, it dissolves into steam and fills the air.

so that proves that food coloring will dissolve faster in a higher/hotter temperature!

I hope this answers your question.