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The population in a certain town doubles every 5 years. Approximately how many years will it take for this town’s population to grow from 100 to 25000?
- a)15
- b)20
- c)30
- d)35
- e)40
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
The population in a certain town doubles every 5 years. Approximately ...
To solve this problem, we need to determine the number of time intervals it takes for the population to double.
The population doubles every 5 years, so we can set up the following equation:
100 * 2n = 25000
Dividing both sides by 100, we get:
2n = 250
To solve for n, we can take the logarithm (base 2) of both sides:
n = log2(250)
Using a calculator, we find that log2(250) is approximately 7.97.
Since n represents the number of 5-year intervals, we round up to the nearest whole number to get 8.
Therefore, it will take approximately 8 * 5 = 40 years for the population to grow from 100 to 25000.
The correct answer is E, 40.
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Community Answer
The population in a certain town doubles every 5 years. Approximately ...
To have a population 16 times its current size?
It will take approximately 20 years for this town to have a population 16 times its current size.
Explanation:
If the population doubles every 5 years, it means that over a period of 5 years, the population will become twice as large.
So, if the current population is P, after 5 years it will be 2P, after 10 years it will be 4P, after 15 years it will be 8P, and after 20 years it will be 16P.
Therefore, it will take approximately 20 years for the town to have a population 16 times its current size.
It will take approximately 20 years for this town to have a population 16 times its current size.
Explanation:
If the population doubles every 5 years, it means that over a period of 5 years, the population will become twice as large.
So, if the current population is P, after 5 years it will be 2P, after 10 years it will be 4P, after 15 years it will be 8P, and after 20 years it will be 16P.
Therefore, it will take approximately 20 years for the town to have a population 16 times its current size.
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