Final answer:
Neither combination of r and K values provided will create conditions for a population to never experience intraspecific competition, as a positive r value indicates ongoing population growth that will lead to reaching the carrying capacity.
Step-by-step explanation:
The student's question relates to the concepts of population growth and the carrying capacity of an environment. The r value represents the rate of population growth, while K denotes the carrying capacity of the environment; that is, the maximum population size that an environment can sustain indefinitely. Intraspecific competition, which is competition within a species for resources, is likely to occur when a population reaches or exceeds the carrying capacity.
In both provided combinations, there is a positive r value, which means the population is growing. If the population grows continuously, it will eventually reach the carrying capacity where intraspecific competition will occur. Therefore, neither of the combinations (K=500, r=0.2 or K=200, r=0.1) is likely to create conditions for a population that will never experience intraspecific competition.