Problem 5 - Biology: The Dynamic Science

Question

The model of exponential population growth predicts that the per capita population growth rate \((r).\) a. does not change as a population gets larger. b. gets larger as a population gets larger. c. gets smaller as a population gets larger. d. is always at its maximum level \(\left(r_{\max }\right)\). e. fluctuates on a regular cycle.

Step-by-Step Solution

Answer

The correct answer is 'a. The per capita population growth rate does not change as a population gets larger'.

Step 1: Understand the Principle of Exponential Growth

Exponential growth denotes a pattern of data that sharply increases over time. In mathematical terms, the rate of change (increase or decrease) of a variable is directly proportional to its current value. The larger a population, the faster it grows under exponential growth.

Step 2: Analyze the Given Options

Upon understanding the nature of exponential growth, we can then analyze each of the given options. We consider the principle that the growth rate, \(r\), does not change with the increase in population size.

Step 3: Select the Correct Answer

With our understanding of exponential growth, we see that the correct answer is: 'a. does not change as a population gets larger.' The nature of exponential growth is such that growth rate is fixed and does not change with an increase or decrease in population.