The rate of evaporation increases with _________.

Evaporation increases with the increase in surface area. It is because, the larger the surface area that is exposed to air, the more molecules will escape into the air.

Evaporation increases with the increase in temperature as more molecules get kinetic energy to convert into vapour. When the water is heated, the water molecules tend to move rapidly. 

Evaporation increases with the increase in wind speed. Particles of vapour move away when the speed of the wind increases. This leads to a decrease in the amount of water vapour in the atmosphere and thus an increase in evaporation