Math Problem Statement
The population was 12,000 in 2020. In 2024 it was decreased by 8%. What would the population be in 2024?
Solution
To calculate the population after a decrease of 8%, we use the formula:
Given:
- Original Population () = 12,000
- Percentage Decrease = 8% = 0.08
Substitute the values:
Final Answer:
The population in 2024 would be 11,040.
Would you like details about the calculation or have any questions?
Expanding Questions:
- What would the population be if the decrease was 10% instead of 8%?
- How do you calculate the percentage change if the new population is known but not the decrease?
- What is the formula to calculate the original population if the final population and percentage decrease are known?
- How would the result change if the population was decreasing annually at a compound rate of 8% over 4 years?
- What are the effects of population decrease in terms of urban planning or resources?
Tip:
When calculating percentage changes, always double-check whether you are increasing or decreasing to avoid reversing the calculation.
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Math Problem Analysis
Mathematical Concepts
Percentage Decrease
Basic Arithmetic
Formulas
New Population = Original Population × (1 - Percentage Decrease)
Theorems
-
Suitable Grade Level
Grades 6-8
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