A certain bacterium is known to grow according to the Malthusian model, doubling itself every 8 hours. If a biologist starts with a culture containing 20,000 bacteria, then harvests the culture at a constant rate of 2000 bacteria per hour, how long until the culture is depleted? What would happen in the same time span if the initial culture contained 25,000 bacteria?

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 10.88TI: Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours...
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A certain bacterium is known to grow according to the
Malthusian model, doubling itself every 8 hours. If a biologist starts with a culture containing 20,000 bacteria, then
harvests the culture at a constant rate of 2000 bacteria per
hour, how long until the culture is depleted? What would
happen in the same time span if the initial culture contained 25,000 bacteria?

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