The number of bacteria in a culture is given by the function n(t)=950e^0.35t where t is measured in hours. (a) What is the continuous rate of growth of this bacterium population? % (b) What is the initial population of the culture?

The number of bacteria in a culture is given by the function n(t)=950e^0.35t where t is measured in hours. (a) What is the continuous rate of growth of this bacterium population? % (b) What is the initial population of the culture?

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter10: Exponential And Logarithmic Functions

Section10.5: Solve Exponential And Logarithmic Equations

Problem 10.87TI: Researchers recorded that a certain bacteria population grew from 100 to 500 in 6 hours. At this...

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Question

The number of bacteria in a culture is given by the function

n(t)=950e^0.35t

where t is measured in hours.

(a) What is the continuous rate of growth of this bacterium population?

%

(b) What is the initial population of the culture?

(c) How many bacteria will the culture contain at time t=3 hours?

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