he population y(t) of a certain microorgani ts quadrupling time is found to be 19.4 hou

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 16EQ
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The population y(t) of a certain microorganism grows continuously and follows an exponential behaviour over time.
Its quadrupling time is found to be 19.4 hours. What differential equation would you use to describe its growth?
O a. y(t) = Ce^(-(log(4)/19.4)t)
O b. y'(t) = (log(4)/19.4)y
O c. y(t) = Ce^((log(2)/19.4)t
O d. y'(t) = -(log(2)/19.4)y
O e. y(t) = Ce^(19.4t)
O f. y'(t) = 19.4y
Transcribed Image Text:The population y(t) of a certain microorganism grows continuously and follows an exponential behaviour over time. Its quadrupling time is found to be 19.4 hours. What differential equation would you use to describe its growth? O a. y(t) = Ce^(-(log(4)/19.4)t) O b. y'(t) = (log(4)/19.4)y O c. y(t) = Ce^((log(2)/19.4)t O d. y'(t) = -(log(2)/19.4)y O e. y(t) = Ce^(19.4t) O f. y'(t) = 19.4y
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