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The mean division time for a single bacterial cell is 20 minutes.Calculate how many times the bacteria will divide in six hours.

Question

The mean division time for a single bacterial cell is 20 minutes. Calculate how many times the bacteria will divide in six hours.

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Solution

1. Break Down the Problem

To find out how many times a single bacterial cell will divide in six hours, we need to determine:

  • The total time available for division (in minutes).
  • The division time for each cell (20 minutes).
  • The number of divisions occurring within the total time.

2. Relevant Concepts

  • Total time available for division in six hours can be calculated as: Total time=6 hours×60 minutes/hour \text{Total time} = 6 \text{ hours} \times 60 \text{ minutes/hour}
  • The number of divisions can be found using: Number of divisions=Total timeDivision time per cell \text{Number of divisions} = \frac{\text{Total time}}{\text{Division time per cell}}

3. Analysis and Detail

  1. Calculate the total time in minutes: Total time=6×60=360 minutes \text{Total time} = 6 \times 60 = 360 \text{ minutes}

  2. Calculate the number of divisions: Number of divisions=360 minutes20 minutes/division=18 \text{Number of divisions} = \frac{360 \text{ minutes}}{20 \text{ minutes/division}} = 18

4. Verify and Summarize

After carefully calculating, we find that the bacterial cell divides 18 times in six hours.

Final Answer

The bacteria will divide 18 times in six hours.

This problem has been solved

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