Correct Option: C. Abundant resources and favorable environmental conditions Detailed Explanation: To understand why option C is the correct answer, we need to delve into the concept of population growth and the factors that influence it.

1. Exponential Growth Defined:
2. Exponential growth occurs when a population increases by a constant proportion over a period of time, leading to a rapid increase in numbers. This type of growth is often represented by the equation: [ N(t) = N_0 e^{rt} ] where:
   • ( N(t) ) = population size at time ( t )
   • ( N_0 ) = initial population size
   • ( r ) = intrinsic growth rate
   • ( e ) = base of the natural logarithm
   • ( t ) = time
3. Role of Resources:
4. For a population to grow exponentially, it requires abundant resources such as food, water, and space. When these resources are plentiful, individuals can reproduce more frequently and successfully, leading to a higher growth rate (( r )).
5. Favorable Environmental Conditions:
6. Favorable environmental conditions include a stable climate, absence of disease, and minimal competition or predation. These conditions allow populations to thrive without the stressors that typically limit growth.

Why Other Options Are Incorrect:

• A. Limited resources:
• Limited resources lead to competition among individuals for survival. When resources are scarce, the growth rate decreases, and populations may stabilize or decline. This is contrary to the conditions needed for exponential growth.
• B. High predation rates:
• High predation rates can significantly reduce the population size of prey species. When predators are abundant, they can control the population of their prey, leading to a decrease in numbers rather than growth. This creates a negative feedback loop that inhibits exponential growth.
• D. Increased competition among species:
• Increased competition occurs when multiple species vie for the same limited resources. This competition can lead to stress, reduced reproductive success, and ultimately a decline in population sizes. Like limited resources, this scenario does not support exponential growth.

Summary of Key Points:

• Exponential growth requires abundant resources and favorable conditions, allowing for high reproduction rates.
• Limited resources and high predation negatively impact population growth, leading to stabilization or decline.
• Increased competition among species further restricts growth by limiting access to necessary resources.
• Understanding these dynamics is crucial for predicting population trends in ecology.

By focusing on the conditions that promote exponential growth, we can better understand population dynamics and the factors that influence the health and sustainability of ecosystems.