The bacteria Escherichia coli (E. coli) live in the intestines of humans and make vitamins such as vitamin K and B-complex vitamins. Which would best describe the relationship between E. coli and humans? A. The E. coli benefit and humans are harmed. B. There is only a benefit for the humans. C. There is only a benefit for the E. coli. D. The E. coli and humans both benefit.
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Escherichia coli living in the human large intestine is known to produce vitamin K and B-complex vitamins in exchange for a nutrient-rich habitat. This host-microbe interaction is an example of symbiosis.
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The bacterium Escherichia coli (or $E$. coli) is a singlecelled organism that lives in the gut of healthy humans and animals. When grown in a uniform medium rich in salts and amino acids, it swims along zig-zag paths at a constant speed changing direction at varying time intervals. Figure FIGURE P1.61 P1.61 shows the positions of an $E$. coli as it moves from point A to point J. Each segment of the motion can be identified by two letters, such as segment BC. During which segments, if any, does the bacterium have the same a. Displacement? b. Speed? c. Velocity?
Escherichia coli (E. coli) is a bacterium that can reproduce at an exponential rate. The $E$ coli reproduce by dividing. A small number of E. coli bacteria in the large intestine of a human can trigger a serious infection within a few hours. Consider a particular E. coli infection that starts with $100 E .$ coli bacteria. Each bacterium splits into two parts every half hour. Assuming none of the bacteria die, the size of the $E .$ coli population after $t$ hours is given by $P(t)=100 \cdot 2^{2 t},$ where $0 \leq t \leq 16$ a. Find $P(3)$ and $P(6)$ b. Use a graphing utility to find the time, to the nearest tenth of an hour, it takes for the $E .$ coli population to number 1 billion.
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