Final answer:
The correct option is a) Exponential
A population moving to a resource-rich environment will initially show exponential growth, represented by a J-shaped curve, until resources become limited, after which it will transition to logistic growth and eventually stabilize at the environment's carrying capacity, represented by an S-shaped curve.
Step-by-step explanation:
If a population moves to a new environment that is rich in resources, it will typically exhibit an exponential growth curve initially. This type of growth is characterized by the number of individuals increasing rapidly in a manner that can be described by a J-shaped curve. This rapid increase continues because the availability of resources is high and competition for those resources is low.
Once the population has grown to the point where resources begin to become limited, the growth curve will shift to logistic growth. In logistic growth, the rate of population expansion starts to decrease as the resources become scarcer, leading to an S-shaped curve. Eventually, the population size stabilizes when it reaches the carrying capacity of the environment, which is the maximum population size that the environment can sustainably support.