A city's population is currently 365,000. If the population doubles every 24 years, what will the population be 96 years from now?
Question
A city's population is currently 365,000. If the population doubles every 24 years, what will the population be 96 years from now?
Solution
To solve this problem, we need to understand that the population doubles every 24 years. This means that every 24 years, the population is multiplied by 2.
Here are the steps to solve the problem:
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Determine how many 24-year periods are in 96 years. To do this, divide 96 by 24. The result is 4. This means that the population will double 4 times.
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Now, we need to calculate the population after it doubles 4 times. To do this, we start with the current population and multiply it by 2, four times.
- After 24 years (1st doubling), the population will be 365,000 * 2 = 730,000.
- After 48 years (2nd doubling), the population will be 730,000 * 2 = 1,460,000.
- After 72 years (3rd doubling), the population will be 1,460,000 * 2 = 2,920,000.
- After 96 years (4th doubling), the population will be 2,920,000 * 2 = 5,840,000.
So, the population of the city will be 5,840,000 in 96 years if it continues to double every 24 years.
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