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Chapter 5: Q.2 (page 335)

Growth of Bacteria

The number N of bacteria present in a culture at time t (in hours) obeys the model N(t)=1000e0.01t.

(a) Determine the number of bacteria at t = 0 hours.

(b) What is the growth rate of the bacteria?

(c) Graph the function using a graphing utility.

(d) What is the population after 4 hours?

(e) When will the number of bacteria reach 1700?

(f) When will the number of bacteria double?

Short Answer

Expert verified

a)TheinitialamountofbacteriaNo,whent=0is1000grams.b)Growthrateis1%c)Graphisplottedd)Thepopulationafter4hoursis1001.6grams.e)In53.06daysbacteriareach1700grams.f)Thepolpulationgetsdoublein69.3days

Step by step solution

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