A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes. The initial population of a culture is 76 cells. (a) Find the relative growth rate. (Assume t is measured in hours.) (b) Find an expression for the number of cells after t hours. (c) Find the number of cells after 8 hours. (Round your answer to the nearest thousand cells) (d) Find the rate of growth (in billions of cells per hour) after 8 hours. (Round your answer to three decimal places.) (e) When will the population reach 20,000 cells? (Round your answer to two decimal places.)
A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes. The initial population of a culture is 76 cells. (a) Find the relative growth rate. (Assume t is measured in hours.) (b) Find an expression for the number of cells after t hours. (c) Find the number of cells after 8 hours. (Round your answer to the nearest thousand cells) (d) Find the rate of growth (in billions of cells per hour) after 8 hours. (Round your answer to three decimal places.) (e) When will the population reach 20,000 cells? (Round your answer to two decimal places.)
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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