Question

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?

Explanation:

Step1: Find time - interval and growth rate

From 10:05 a.m. to 10:15 a.m. (10 - minute interval), the number of cells grows from 2 to 8, which means the number of cells doubles every 10 minutes.

Step2: Find time for 16 cells

Since 8 cells are present at 10:15 a.m. and the number of cells doubles every 10 minutes, when 8 doubles to 16, the time will be 10:25 a.m.

Step3: Find time for 64 cells

Starting from 8 cells at 10:15 a.m., to get to 64 cells: 8→16 (10 - minute interval), 16→32 (10 - minute interval), 32→64 (10 - minute interval). So 3 intervals of 10 minutes each from 10:15 a.m. gives 10:45 a.m.

Answer:

10:25 a.m.
10:45 a.m.