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A conservation program aims to increase the population of an endangered species

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Question: A conservation program aims to increase the population of an endangered species by 25% each year. If the current population is 400, what will be the population after 2 years?

Options:

  1. 500
  2. 600
  3. 625
  4. 700

Correct Answer: 625

Solution: 

After 1 year: 400 + (25% of 400) = 500; After 2 years: 500 + (25% of 500) = 625.

A conservation program aims to increase the population of an endangered species

Practice Questions

Q1
A conservation program aims to increase the population of an endangered species by 25% each year. If the current population is 400, what will be the population after 2 years?
  1. 500
  2. 600
  3. 625
  4. 700

Questions & Step-by-Step Solutions

A conservation program aims to increase the population of an endangered species by 25% each year. If the current population is 400, what will be the population after 2 years?
  • Step 1: Start with the current population, which is 400.
  • Step 2: Calculate 25% of 400. To do this, multiply 400 by 0.25. This equals 100.
  • Step 3: Add the 25% (100) to the current population (400). So, 400 + 100 = 500. This is the population after 1 year.
  • Step 4: Now, take the new population (500) and calculate 25% of it. Multiply 500 by 0.25, which equals 125.
  • Step 5: Add the 25% (125) to the new population (500). So, 500 + 125 = 625. This is the population after 2 years.
  • Percentage Increase – Understanding how to calculate a percentage increase on a given population.
  • Compound Growth – Recognizing that growth is compounded annually rather than a simple addition.
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