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 925. (a) Find an expression for the number of bacteria after t hours. (Round your numeric values to four decimal places.) P(t) = (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.) hr Need Help? Read It Watch It

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 925. (a) Find an expression for the number of bacteria after t hours. (Round your numeric values to four decimal places.) P(t) = (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.) hr Need Help? Read It Watch It

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 13EQ

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