The small intestine bacteria, while inhabiting areas optimal for growth, have a doubling time of roughly 10 hours. A normal small intestine starting population would be approximately 10, 000 bacteria per ml of fluid. a) Write an equation to model this exponential growth, with b(x) representing the number of bacteria per ml and x representing the time in hours. b) How long will it take for there to be 100, 000 bacteria per ml? (Round your answer to two decimal places if necessary) e) Determine the average rate of change between 20 hours and 30 hours.

The small intestine bacteria, while inhabiting areas optimal for growth, have a doubling time of roughly 10 hours. A normal small intestine starting population would be approximately 10, 000 bacteria per ml of fluid. a) Write an equation to model this exponential growth, with b(x) representing the number of bacteria per ml and x representing the time in hours. b) How long will it take for there to be 100, 000 bacteria per ml? (Round your answer to two decimal places if necessary) e) Determine the average rate of change between 20 hours and 30 hours.

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College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 11T: Suppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the...

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