Exponential growth Knowledge-Based Practice

Questions

1. 1.

   When population size is plotted against time on standard linear axes, which graphical curve represents continuous exponential growth?

   • A) A sigmoid curve that decelerates toward an asymptote
   • B) A straight linear line with an unchanging positive slope
   • C) A J-shaped curve with an increasingly steep upward trajectory
   • D) A bell-shaped curve that reaches a peak and symmetrically declines
2. 2.

   When population size over time for a population undergoing continuous exponential growth is plotted on a semi-logarithmic graph, where the vertical axis displays the natural logarithm of population size, what is the shape of the resulting curve?

   • A) A straight line with a constant positive slope
   • B) A J-shaped curve that progressively steepens over time
   • C) An S-shaped curve that levels off at a plateau
   • D) A parabolic curve that peaks and then declines symmetrically
3. 3.

   In a biological population undergoing exponential growth with a constant intrinsic rate of increase, how does the time required for the population to double in size change over successive generations?

   • A) It progressively decreases because the absolute number of reproducing individuals increases.
   • B) It progressively increases because intraspecific competition for space intensifies.
   • C) It fluctuates unpredictably depending on the initial density of the founding individuals.
   • D) It remains constant because the per capita growth rate does not depend on population size.
4. 4.

   In an idealized biological population experiencing exponential growth according to the model $dN/dt = rN$, how do the per capita rate of increase ($r$) and the population growth rate ($dN/dt$) change as population size ($N$) increases?

   • A) The per capita rate of increase remains constant, while the population growth rate increases.
   • B) Both the per capita rate of increase and the population growth rate remain constant.
   • C) The per capita rate of increase increases, while the population growth rate remains constant.
   • D) The per capita rate of increase decreases, while the population growth rate increases.
5. 5.

   Which of the following conditions is fundamentally required for a biological population to exhibit exponential growth?

   • A) Continuous presence of unlimited resources and the absence of density-dependent limiting factors
   • B) A population size that consistently fluctuates directly around its habitat's carrying capacity
   • C) A gradual decrease in the per capita birth rate as population density increases over time
   • D) An equal balance between per capita birth rates and per capita death rates across all generations

Answers and step-by-step solutions appear after you finish the test.