At the beginning of an experiment a colony has N bacteria. Two hours later it has 4N bacteria. How many hours, measured from the beginning, does it take for the colony to have 10N bacteria.
Which is a well known seperable equation. In this case, I imagine you don't need to derive the equation so we'll skip right to it.
We are going to use
where we let t be time in hours.
At time 0 we have N bacteria so the above equation stays the same.
At time 2 we have 4N bacteria so we can find K,
Now, we sub back into our first equation to get.
At what time t does the colonie have 10 bacteria?
At the beginning of an experiment a colony has bacteria.
Two hours later, it has bacteria.
How many hours, measured from the beginning,
. . does it take for the colony to have bacteria?
The general population function is: .
. . We have: .
The function is: .
If , we have: .
Take logs: .