Answer
The correct answer is:
(d) Both the pressure and the temperature increase.
Work Step by Step
We can write an expression for the average kinetic energy:
$\overline{KE} = \frac{3}{2}~\frac{PV}{N}$
$\overline{KE} = \frac{3}{2}~kT$
If the average kinetic energy increases while the volume remains constant, then the pressure must increase and the temperature must increase.
The correct answer is:
(d) Both the pressure and the temperature increase.