Final answer:
The number of particles in a 900 cubic meter home with an average of 2.8x10^5 particles of dust per cubic meter is 2.52 × 10^8 particles.
Step-by-step explanation:
To find the number of dust particles in a 900 cubic meter home, we need to multiply the average number of dust particles per cubic meter by the total volume of the home.
The average house has 2.8x10^5 particles of dust per cubic meter. Therefore, the total number of particles in a 900 cubic meter home would be (2.8x10^5) * (900) = 2.52 × 10^8 particles.
So, the correct answer is A) (2.52 × 10^8) particles.