The homogeneous mixture formed when sugar is dissolved into a glass of hot water is called a sugar solution.

Here's why:

* Homogeneous: The sugar is evenly distributed throughout the water, meaning it has a uniform composition. You can't see individual sugar particles.

* Solution: A solution is a type of homogeneous mixture where one substance (the solute, in this case, sugar) dissolves completely into another substance (the solvent, in this case, water).