Answer
The bunny will not be able to drink the water.
Work Step by Step
We must find the temperature that the water will be at:
$ H = 4(T+15) = 4T + 60$
We see this equal to the power output of the lamp, which is 50 Watts:
$ 50 = 4T + 60 \\ T = -2.5 ^{\circ}C$
This is below the freezing point, which is 0 degrees C, so we see that the bunny will not be able to drink the water.