The curve that accurately reflects the growth of the population of bacteria in a petri dish under ideal conditions until it runs out of space is "C. An S-curve".
The S-shaped curve, also known as the logistic growth curve, is used to represent the growth of a population that starts out small and grows rapidly at first, but eventually levels off as the population approaches the carrying capacity of its environment. In the case of bacteria in a petri dish, the population growth would initially be exponential, but as resources become limiting, the growth rate will slow down and eventually reach a plateau or leveling off point, creating an S-shaped curve. This pattern of growth is observed in many populations that are subject to resource limitations, and is a common model used in population biology.