Final answer:
The amount of thermal energy needed to change the temperature of the ice increases as the mass of the ice added to the cup increases.
Step-by-step explanation:
When the mass of the ice added to the cup increases, the amount of thermal energy needed to change the temperature of the ice increases.
Heat transfer is governed by the equation Q = mcΔT, where Q is the heat transferred, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature.
As the mass of the ice increases, the heat transfer also increases, as more energy is required to raise the temperature of a larger amount of ice.