A bacterial population is cultured in a laboratory flask provided with unlimited nutrients and space. Which of the following correctly describes the expected growth curve shape, the resource condition, and the governing mathematical equation for this population?

Step-by-step solution

When resources in a habitat are unlimited, each species has the ability to realize fully its innate potential to grow in number. This results in exponential or geometric growth, which yields a J-shaped growth curve when population density is plotted against time. The mathematical representation of this exponential growth in its integral form is N_t = N₀ e^ rt . The S-shaped (sigmoid) curve and the logistic growth equation dN dt = rN ( K-N K ) apply to populations growing under limited resource conditions. Answer: J