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Under perfect conditions, E. coli bacteria would cover the entire earth in a matter of days. Which of the following types of models is the best for explaining this type of growth?
Correct Answer: D
# Bacterial growth under ideal conditions follows exponential behavior: the population doubles at regular intervals. This results in a rapid increase that aligns with the formula: N(t) = N#e^(rt), where N# is the initial population and r is the growth rate. Why the other options are incorrect: * A: Linear models show constant growth, not doubling. * B: Logarithmic models show slowing growth - opposite of exponential. * C: Polynomial growth is slower than exponential and not suitable for biological doubling. Official References: * CompTIA DataX (DY0-001) Study Guide - Section 1.3:"Exponential growth occurs when the rate of increase is proportional to the current value, common in population dynamics." -