If your house is heated by a furnace that blows hot air into the rooms, you are depending on the process of ______ to stay warm.

Choices are: convection, radiation,conduction, heat

wouldn't it be convection? because there are convection currents in the air?

Mostly convection.

Convection

If your house is heated by a furnace that blows hot air into the rooms, you are depending on the process of convection to stay warm.

Explanation:
Convection is the process of heat transfer through the movement of fluids. In this case, the hot air produced by the furnace is circulated through the ventilation system and blown into the rooms. As the hot air rises, it displaces the cooler air, creating a continuous cycle that warms up the space.

To get this answer on your own, you can break down the information given in the question and consider the different methods of heat transfer. Since the question mentions that hot air from the furnace is being circulated, you can eliminate radiation (transfer of heat through electromagnetic waves) and conduction (transfer of heat through direct contact). This leaves you with convection as the most likely process by which heat is being transferred in this scenario.