The number of bacteria in a liquid culture is observed to grow at a rate proportional to the number of cells present. At the beginning of the experiment there are 104 cells and after 3 hours there are 3 x 105 cells. a Calculate the number of bacteria after 1 day of growth if this rate of growth continues. b Determine the doubling time of the bacteria.

The number of bacteria in a liquid culture is observed to grow at a rate proportional to the number of cells present. At the beginning of the experiment there are 104 cells and after 3 hours there are 3 x 105 cells. a Calculate the number of bacteria after 1 day of growth if this rate of growth continues. b Determine the doubling time of the bacteria.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 13EQ

See similar textbooks

Similar questions

Estimate the age of a newly discovered fossil for which the ratio of carbon-14 to carbon-12 is R=1/1014.
The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.
Researchers recorded that a certain bacteria population grew from 100 to 500 in 6 hours. At this rate of growth, how many bacteria will there be 24 hours from the start of the experiment?
Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours after the administration of medication. At this rate of decay, how many bacteria will there be 24 hours from the start of the experiment?