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Suppose that a population of bacteria triples every hour and starts with 400 bac

ID: 2859940 • Letter: S

Question

Suppose that a population of bacteria triples every hour and starts with 400 bacteria. Find an expression for the number n of bacteria after t hours. n(t) = 400.3 Use it to estimate the rate of growth of the bacteria population after 1.5 hours. (Round your answer to the nearest whole number.) n?(1.5) = 2286 bacteria/hr The number of yeast cells in a laboratory culture increases rapidly initially but levels off eventually. The population is modeled by the function n = f(t) = a/1 + be^-0.9t where t is measured in hours. At time t = 0 the population is 20 cells and is increasing at a rate of 16 cells/hour. Find the values of a and b. a= b= According to this model, what happens to the yeast population in the long run? The yeast population will grow without bound. The yeast population will stabilize at 8 cells. The yeast population will shrink to 0 cells. The yeast population will stabilize at 180 cells. The yeast population will stabilize at 90 cells.

Explanation / Answer

6. The number of bacteria after t hours= 400(3)t

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