When the pressure of a gas increases in a container held at constant volume, the temperature of the gas will also increase. This is because, according to Gay-Lussac's law, the pressure of a fixed amount of gas at constant volume is directly proportional to its absolute temperature (measured in Kelvin).
Thus, the most accurate statement regarding the relationship between temperature and pressure in this scenario is:
The temperature will rise at the same rate with the increase in pressure.
While the precise rate of temperature change relative to pressure would depend on specific conditions, in general, an increase in pressure at constant volume will result in a proportional increase in temperature.