At \( 10: 05 \) a.m., there are 2 microscopic bacteria cells in the bottle. At \( 10: 15 \) a.m., there are 8 cells in the bottle. At what time will there be 16 cells in the bottle? At what time will there be 64 cells in the bottle? \( 10: 30 \) a.m.

The bacteria cells double in number every 10 minutes. Starting with 2 cells at \( 10:05 \) a.m., they double to 4 cells by \( 10:15 \) a.m. From there, it only takes another 10 minutes to reach 8 cells at \( 10:15 \) a.m. Since the next doubling will occur at \( 10:25 \) a.m., that's when you'll have 16 cells. To reach 64 cells, we need to double again, which will happen at \( 10:45 \) a.m. So, the bacteria reach 16 cells at \( 10:25 \) a.m. and 64 cells at \( 10:45 \) a.m.! Quite the impressive growth rate, isn't it? Just think of how many cells that would be after a few more hours!