Final answer:
The relationship between atmospheric pressure and gas density is that as pressure increases, gas density also increases, according to Boyle's Law. Option B is correct.
Step-by-step explanation:
The relationship between atmospheric pressure and the density of gas particles in an area of increasing pressure can be understood through Boyle's Law. Specifically, option b is correct: As air pressure in an area increases, the density of the gas particles in that area increases.
This is because as the pressure on a gas increases, the gas particles are forced closer together, reducing the volume and increasing the density. The increased pressure leads to more gas particles within a given volume, which means greater impact from the collisions of these particles, thus higher density.
Pressure is directly related to temperature as well; higher temperatures tend to increase both the speed of gas particles and the pressure they exert. However, when considering just pressure and density, without altering the temperature, the principle that higher pressure results in higher density applies.