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:

New Population=Original Population×(1Percentage Decrease)\text{New Population} = \text{Original Population} \times (1 - \text{Percentage Decrease})

Given:

  • Original Population (PoriginalP_{\text{original}}) = 12,000
  • Percentage Decrease = 8% = 0.08

Substitute the values:

New Population=12,000×(10.08)\text{New Population} = 12,000 \times (1 - 0.08)

New Population=12,000×0.92=11,040\text{New Population} = 12,000 \times 0.92 = 11,040

Final Answer:

The population in 2024 would be 11,040.

Would you like details about the calculation or have any questions?


Expanding Questions:

  1. What would the population be if the decrease was 10% instead of 8%?
  2. How do you calculate the percentage change if the new population is known but not the decrease?
  3. What is the formula to calculate the original population if the final population and percentage decrease are known?
  4. How would the result change if the population was decreasing annually at a compound rate of 8% over 4 years?
  5. 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

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Suitable Grade Level

Grades 6-8