High School

A certain type of bacteria doubles in population every 6 hours. There were approximately 100 bacteria at the beginning of the day.

How many bacteria will there be at the end of one day?

Answer :

Final answer:

The number of bacteria doubles every 6 hours. By calculating the number of doubling periods in one day, we can determine the population at the end of the day.

Explanation:

To find the number of bacteria at the end of one day, we need to calculate the number of times the population doubles in 24 hours. Since the bacteria population doubles every 6 hours, there are 4 doubling periods in a day.

Starting with 100 bacteria, after the first doubling period the population becomes 2 * 100 = 200 bacteria. After the second doubling period, it becomes 2 * 200 = 400 bacteria. Continuing this pattern, after the third doubling period it becomes 2 * 400 = 800 bacteria, and after the fourth doubling period it becomes 2 * 800 = 1600 bacteria. Therefore, at the end of one day, there will be approximately 1600 bacteria.

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Answer:

1600 after 24 hours

Step-by-step explanation:

100+100 = 200 after 6 hours

200+200 = 400 after 12 hours

400+400 = 800 after 18 hours

800+800 = 1600 after 24 hours