A culture of bacteria has an initial population of 54000 bacteria and doubles every 7 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}Pt​=P0​⋅2dt​, where P_tPt​ is the population after t hours, P_0P0​ is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 8 hours, to the nearest whole number?

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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A culture of bacteria has an initial population of 54000 bacteria and doubles every 7 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}Pt​=P0​⋅2dt​, where P_tPt​ is the population after t hours, P_0P0​ is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 8 hours, to the nearest whole number?

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