Final answer:
When the population size of a prey species increases, the birthrate of a predator species should also increase. Hence, the statement is a) true.
Step-by-step explanation:
A prey population and a predator population are involved in a cyclic relationship. When the population size of the prey species increases, the birthrate of the predator species also increases. This is because with more prey available, the predator population has more food and resources, which allows them to reproduce at a higher rate.
As the predator population increases, more prey are captured, causing a decrease in the prey population. This decrease in prey population then leads to a decrease in the predator population as well. The cycle continues in this fluctuating pattern.