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 875. (a) Find an expression for the number of bacteria after t hours. (Round your numeric values to four decimal places.) P(t) = 50e 1.9081t (b) Find the number of bacteria after 6 hours. (Round your answer to the nearest whole number.) P(6) = bacteria (c) Find the rate of growth (in bacteria per hour) after 6 hours. (Round your answer to the nearest whole number.) P'(6)= bacteria per hour (d) After how many hours will the population reach 250,000? (Round your answer to one decimal place.) t = 4.5 V hr

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 875. (a) Find an expression for the number of bacteria after t hours. (Round your numeric values to four decimal places.) P(t) = 50e 1.9081t (b) Find the number of bacteria after 6 hours. (Round your answer to the nearest whole number.) P(6) = bacteria (c) Find the rate of growth (in bacteria per hour) after 6 hours. (Round your answer to the nearest whole number.) P'(6)= bacteria per hour (d) After how many hours will the population reach 250,000? (Round your answer to one decimal place.) t = 4.5 V hr

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter7: Applying Fractions

Section7.9: Negative Exponents

Problem 25OE

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