Final answer:
Heating up the water in the bottle is an effective way to increase the vapor pressure, as it converts more water into a gas, causing more vapor molecules to strike the container walls.
Step-by-step explanation:
To increase the vapor pressure inside a closed bottle halfway filled with water, one effective method is heating up the water to change more of it into a gas (Option B). As the temperature increases, the average kinetic energy of the molecules also increases, allowing more water molecules to escape the liquid phase and enter the gas phase. This process raises the vapor pressure inside the bottle as more vapor molecules collide with the walls of the bottle. Freezing the water (Option A) or shaking the bottle (Option C) would not be effective in increasing vapor pressure, and opening the lid (Option D) would release the pressure, not increase it.