+20 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 11:39? What fraction of the bottle is full at that time?
+33615 "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 11:39? What fraction of the bottle is full at that time?"
After 1 min there are 21 bacteria.
After 2 mins there are 22 bacteria.
After 3 mins there are 23 bacteria.
...
After n mins there are 2n bacteria.
So after 39 mins there are 239 bacteria
After 60 mins there are 260 bacteria
Fraction full at 11.39 is thereferore 239/260 or 2-21
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