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The Growth Rate of the Bacterium, a Common Bacterium Found

question 37

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The growth rate of the bacterium, a common bacterium found in the human intestine, is proportional to its size. Under ideal laboratory conditions, when this bacterium is grown in a nutrient broth medium, the number of cells in a culture doubles approximately every 20 min. If the initial cell population is 10, determine the function Q(t) that expresses the exponential growth of the number of cells of this bacterium as a function of time t (in minutes) . How long will it take for a colony of 10 cells to increase to a population of 1 million? If the initial cell population were 100, how would this alter the model? ​


Definitions:

Sporophyte Generation

The diploid, spore-producing phase in the life cycle of plants that undergo alternation of generations.

Vascular Tissue

Specialized tissue in plants responsible for water and nutrient transport throughout the organism.

Megaspore

One of the two types of spores produced by seed plants; develops into a female gametophyte (embryo sac).

Female Gametophyte

The haploid phase in the life cycle of plants and algae that produces female gametes or eggs.

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