Answer: At 10:20 a.m., there will be 16 cells in the bottle.
At 10:30 a.m. there will be 64 cells in the bottle .
Step-by-step explanation:
Since we have given that
At 10:05 a.m. number of microscopic bacteria cells in the bottle = 2
At 10:15 a.m. number of microscopic bacteria cells in the bottle = 8
It means in every 5 times the number of microscopic bacteria cells in the bacteria gets twice itself.
So, by following the same pattern we can get that,
At 10:20 a.m. number of microscopic bacteria cells in the bottle is given by

Hence, At 10:20 a.m., there will be 16 cells in the bottle.
Similarly,
At 10:25 a.m. number of microscopic bacteria cells in the bottle is given by

At 10:30 a.m. number of microscopic bacteria cells in the bottle will be

Hence, At 10:30 a.m. there will be 64 cells in the bottle .