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.
The equation for bacteria growth comes from
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?
Hello, ryan18!
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: .
When
. . We have: .
When
. .
The function is: .
If , we have: .
Take logs: .
. .