A culture of the bacterium Salmonella enteritidis initially contains 50 cells. When introduced into a nutrient broth, the culture grows at a rate proportional to its size. After 1.5 hours, the population has increased to 975. (a) Find an expression for the number of bacteria after t hours. Thus the number of bacteria after 3 hours. After how many hours will the population reach 250, 000 ?

Trigonometry (MindTap Course List)
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Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
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A culture of the bacterium Salmonella enteritidis initially contains 50 cells. When introduced into a nutrient broth, the culture grows at a rate proportional to its size. After 1.5 hours, the population has increased to 975.

(a) Find an expression for the number of bacteria after t hours. Thus the number of bacteria after 3 hours.

After how many hours will the population reach 250, 000 ?

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