[Differential Equations] This question relates to Malthusian models of population growth.

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?

Question

[Differential Equations] This question relates to Malthusian models of population growth. 

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?

sweetburger · Answer

you dont even need to do anything fancy here i think you can just that at 8 hours there are 4000 bacteria left and then they double resulting in 8000 so after 12 hours all the bacteria are gone maybe I am missing something here but i think this is supposed to be simple