A city doubles its size every 76 years. If the population is currently 150,000, what will the population be in 228 years?
Question
A city doubles its size every 76 years. If the population is currently 150,000, what will the population be in 228 years?
Solution
To solve this problem, we need to understand that the city's population doubles every 76 years.
Step 1: Determine how many times the population will double in 228 years. To do this, divide 228 by 76. The result is 3. This means the population will double 3 times in 228 years.
Step 2: Double the population the number of times determined in step 1. The population starts at 150,000.
- After 76 years (first doubling), the population will be 150,000 * 2 = 300,000.
- After 152 years (second doubling), the population will be 300,000 * 2 = 600,000.
- After 228 years (third doubling), the population will be 600,000 * 2 = 1,200,000.
So, the population will be 1,200,000 in 228 years.
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