Multiple choice

The present population of a town is 5000. If the population decreases at the rate of 10% per year, the population after 2 years will be

  1. 4820

  2. 4050

  3. 4980

  4. 4500
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Population after 2 years = 5000 * (1 - 0.1)^2 = 5000 * 0.9^2 = 5000 * 0.81 = 4050.

AI explanation

To find the population after a constant rate of decrease, we use the compound decay formula: Final Population = Initial Population * (1 - Rate/100)^Time. Plugging in the values gives 5000 * (1 - 10/100)^2, which simplifies to 5000 * (9/10)^2. Calculating this yields 5000 * 81/100, resulting in a final population of 4050 after 2 years.

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