+0  
 
0
68
1
avatar

Suppose a single bacterium is placed in a bottle at 11:00 am. It grows and at 11:01 divides into two bacteria. These two bacteria each grow and at 11:02 divide into four bacteria, which grow and at 11:03 divide into eight bacteria, and so on. Now, suppose the bacteria continue to double every minute and the bottle is full at 12:00. How many bacteria are in the bottle at

11:52 ?

What fraction of the bottle is full at that time?

There will be

bacteria in the bottle at 11:52

.

(Type your answer using exponential notation.)

 

The bottle will be full at

Guest Nov 9, 2017
Sort: 

1+0 Answers

 #1
avatar+78744 
+1

The number of bacteria  N minutes after 11:00   =  2^N

 

So when the bottle is full at noon , we will have 2^60 bacteria

And at 11:52 we will have 2^52 bacteria

 

So

 

2^52 / 2^60  =    1 / 2^8   full 1 / 256  full at 11:52

 

[ A little surprising, huh ?? ]

 

 

cool cool cool

CPhill  Nov 9, 2017

6 Online Users

avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details