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It is known that a particular bipartition bacterium reproduces every 20 minutes, that is displayed 2 every 20 minutes.
How many bacteria will last 10 hours
To determine the number of bacteria that will exist after 10 hours, we first need to calculate the number of bacteria that exist after every 20-minute interval.
Since the bacterium reproduces every 20 minutes, we can use the concept of exponential growth to determine the number of bacteria after each interval. Each 20 minutes, the number of bacteria doubles. This means that if there are 2 bacteria at the start, there will be 4 after 20 minutes, 8 after 40 minutes, and so on.
To calculate the number of bacteria after 10 hours, we need to convert the 10 hours into minutes: 10 hours * 60 minutes/hour = 600 minutes.
Since each 20-minute interval doubles the number of bacteria, we can divide 600 by 20 to determine how many 20-minute intervals are in 10 hours: 600 minutes / 20 minutes/interval = 30 intervals.
Now, we can calculate the number of bacteria after 10 hours. Starting with 2 bacteria, we can double this number 30 times since there are 30 intervals.
2 bacteria * 2 * 2 * ... * 2 (30 times) = 2^30 bacteria.
Using a calculator, we can find that 2^30 is approximately 1,073,741,824.
Therefore, after 10 hours, there will be approximately 1,073,741,824 bacteria.