Final answer:
The weather changes can be explained by a low-pressure system moving into the area, resulting in clouds and precipitation. As the low-pressure system moves on, the weather conditions improve and the pressure begins to rise again.
Step-by-step explanation:
The weather changes described in the scenario can be explained by a low-pressure system moving into the area. Low-pressure systems occur when the atmospheric pressure at the Earth's surface is lower than the surrounding environment. They result in rising moist air, condensation, and the formation of clouds and precipitation. In this case, as the pressure falls and the sky becomes overcast, it indicates the approach of a low-pressure system, which brings thicker clouds and heavier precipitation. As the system moves on and the winds shift, the pressure begins to rise again, indicating the departure of the low-pressure system.