The problem asks to determine if the population of a town increased or decreased between the years 2000 and 2003, and by what percentage, rounded to the nearest 1%.

Applied MathematicsPercentage ChangePopulationStatisticsData Analysis
2025/4/30

1. Problem Description

The problem asks to determine if the population of a town increased or decreased between the years 2000 and 2003, and by what percentage, rounded to the nearest 1%.

2. Solution Steps

First, we determine whether the population increased or decreased.
The population in 2000 was 28,
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4

7. The population in 2003 was 19,

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4

4. Since 19,244 < 28,347, the population decreased.

Next, we calculate the percentage change in population.
The formula for percentage change is:
Percentage Change=New ValueOld ValueOld Value×100Percentage\ Change = \frac{New\ Value - Old\ Value}{Old\ Value} \times 100
In this case, the old value is the population in 2000, which is 28,
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4

7. The new value is the population in 2003, which is 19,

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4
4.
Percentage Change=192442834728347×100Percentage\ Change = \frac{19244 - 28347}{28347} \times 100
Percentage Change=910328347×100Percentage\ Change = \frac{-9103}{28347} \times 100
Percentage Change0.3211×100Percentage\ Change \approx -0.3211 \times 100
Percentage Change32.11%Percentage\ Change \approx -32.11\%
Since we need to round to the nearest 1%, the percentage change is approximately -32%. The negative sign indicates a decrease.

3. Final Answer

Between 2000 and 2003, the population of the town decreased by 32%, rounded to the nearest 1%.

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