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? 10:20 a.m. 10:25 a.m. 10:30 a.m. 10:35 a.m.

Explanation:

Step1: Find time - interval and growth pattern

From 10:05 a.m. to 10:15 a.m. (10 - minute interval), number of cells goes from 2 to 8 (multiplies by 4). So, the number of bacteria doubles every 5 minutes.

Step2: Calculate time for 16 cells

Since 8 cells are at 10:15 a.m. and the number of cells doubles every 5 minutes, for 16 cells (8×2), 5 minutes after 10:15 a.m., it will be 10:20 a.m.

Step3: Calculate time for 64 cells

From 16 cells, to get 64 cells (16×4), we need two more 5 - minute intervals. So 10 minutes after 10:20 a.m., it will be 10:30 a.m.

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.