Exponential growth Knowledge-Based Download PDF

Questions

1. 1.

   When the natural logarithm of population size is plotted against time for a population undergoing exponential growth, which graphical pattern is produced?

   • A) A horizontal line with a slope of zero
   • B) A sigmoidal curve that reaches a stable plateau
   • C) An upward-curving trajectory with an accelerating slope
   • D) A straight line with a constant positive slope
2. 2.

   Under the exponential growth model, how does a population's doubling time change as its size increases?

   • A) It decreases progressively because the absolute number of reproducing individuals increases.
   • B) It increases steadily because resources are consumed at an accelerating rate.
   • C) It fluctuates depending on the initial starting size of the founding population.
   • D) It remains constant because the intrinsic per capita rate of increase is density-independent.
3. 3.

   Which assumption regarding per capita birth and death rates forms the basis of the exponential model of population growth?

   • A) Per capita birth rate decreases and per capita death rate increases as population density rises.
   • B) Per capita birth and death rates fluctuate cyclically around the carrying capacity of the habitat.
   • C) Per capita birth rate increases while per capita death rate drops toward zero as density increases.
   • D) Per capita birth and death rates remain constant and independent of population density.
4. 4.

   In an idealized biological population undergoing exponential growth, which statement correctly describes how the per capita rate of increase ($r$) and the absolute population growth rate ($dN/dt$) behave as population size increases?

   • A) Both the per capita rate of increase and the absolute population growth rate decrease as density increases.
   • B) The per capita rate of increase remains constant, while the absolute population growth rate increases.
   • C) The per capita rate of increase increases, while the absolute population growth rate remains constant.
   • D) Both the per capita rate of increase and the absolute population growth rate remain constant over time.
5. 5.

   Under which of the following conditions does a biological population exhibit exponential growth, resulting in a characteristic J-shaped growth curve?

   • A) When population density approaches the carrying capacity and the per capita birth rate equals the death rate.
   • B) When density-dependent limiting factors progressively lower the intrinsic rate of increase as abundance rises.
   • C) When resource availability fluctuates cyclically due to intense interspecific competition and heavy predation.
   • D) When resources are essentially unlimited and individuals reproduce continuously at a constant per capita rate.