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Difficulty: MediumPercents and Percent Change

The table below shows the population of a certain plant species in two conservation areas in 2024 and 2025.

Conservation Area2024 Population2025 Population
Area P120120150150
Area Q160160180180

The percent increase in the plant population of Area P from 2024 to 2025 is how many percentage points greater than the percent increase in the plant population of Area Q from 2024 to 2025?

  1. A
    7.5%7.5\%
  2. B
    10.0%10.0\%
  3. 12.5%12.5\%Answer
  4. D
    8.9%8.9\%

Answer

The percent increase in the plant population of Area P is 12.5%12.5\% greater than that of Area Q.
To find the difference in the percent increases, we first calculate the percent increase for each conservation area. The percent increase is calculated by dividing the change in population by the original 2024 population, then multiplying by 100. For Area P, the percent increase is 150−120120×100=25%\frac{150 - 120}{120} \times 100 = 25\%. For Area Q, the percent increase is 180−160160×100=12.5%\frac{180 - 160}{160} \times 100 = 12.5\%. Subtracting these two percentages yields a difference of 25%−12.5%=12.5%25\% - 12.5\% = 12.5\%.

Step-by-Step Solution

1
Calculate the percent increase in the plant population for Area P from 2024 to 2025.
25%25\%
The initial population in 2024 was 120120 and the population in 2025 was 150150. The increase is 150−120=30150 - 120 = 30. The percent increase is calculated relative to the 2024 base: 30120×100=25%\frac{30}{120} \times 100 = 25\%.
2
Calculate the percent increase in the plant population for Area Q from 2024 to 2025.
12.5%12.5\%
The initial population in 2024 was 160160 and the population in 2025 was 180180. The increase is 180−160=20180 - 160 = 20. The percent increase is calculated relative to the 2024 base: 20160×100=12.5%\frac{20}{160} \times 100 = 12.5\%.
3
Calculate the difference between the two percent increases in percentage points.
12.512.5 percentage points
Subtract the percent increase of Area Q from the percent increase of Area P: 25%−12.5%=12.5%25\% - 12.5\% = 12.5\%.

Key Concept

Percent change calculations require identifying the correct baseline (initial) value.
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Topics

Percents and Percent Change

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