Final answer:
The paramecium population most likely increased due to an increase in available food, which is essential for their reproduction and growth. Osmolarity affects their physiology but the primary factor for population growth is food availability.
Step-by-step explanation:
The factor most likely accounting for the change in the paramecium population from 3 to 20 hours is an increase in available food. Paramecia are single-celled organisms that rely on sufficient food sources such as bacteria, algae, and yeast to reproduce and thrive. When food is plentiful, these organisms can reproduce rapidly, leading to a significant increase in their population size. Other factors, such as osmolarity, can influence their physiological responses like the rate of contraction, but the direct cause of population growth is typically related to resource availability. A decreased osmolarity, which indicates there is more water relative to solutes, would also allow for more water to diffuse into the paramecium, however, it's the availability of nutrients that is most crucial for population growth as it allows for increased reproduction and survival rates.