Suppose the number of bacteria in a culture increases by 50% every hour if left on its own. Assuming that biologists decide to remove approximately one thousand bacteria from the culture every ten minutes, which of the following equations best models the population P=P(t) of the bacteria culture, where t is in hours? (see attachment)

Question

Suppose the number of bacteria in a culture increases by 50% every hour if left on its own. Assuming that biologists decide to remove approximately one thousand bacteria from the culture every ten minutes, which of the following equations best models the population P=P(t) of the bacteria culture, where t is in hours?  (see attachment)

anonymous · Answer

attachment

anonymous · Answer

you dont need to know any calculus to solve this one

anonymous · Answer

it is B,,
try it like this..
in every hour the population increases the 50% or 0.5 times P..
so 
dP/dt = 0.5P

anonymous · Answer

And since that biologist is removing the bacteria at a rate of 1000 per 10 minutes or 6000 an hour so u subtract this much from the equation and it becomes the third option

anonymous · Answer

dP/dt = 0.5P - 6000

anonymous · Answer

thanks! you got it right. I submitted it into the test i'm taking and I got it right.