Help Pls 🫶

[zenith stirrup]

A single cell of Bacterium E. Coli would, under ideal circumstances, divide every 20 minutes. If the culture begins with 1 cell, determine to the nerves at minute how long it will take for there to be 1024 bacterium cells

[tawdry sage]

So I would start trying to see how many cells are in the nth division

At the start (n=0): you have 1 cell
With the first division (n=1): you have 21=2 cells
With the second division (n=2): you have 22=4 cells
and so on

Then, in general, for the nth division you would have 2^n cells. You need to find the value of n that makes 2^n = 1024 (which is 10).

So then, you know it will take 10 divisions to gen to 1024 cells. If each division takes 20 minutes, that would be a total of 10*20 = 200 minutes.

@zenith stirrup

[zenith stirrup]

thank you very much

.solved