If a population of a town increases by 10% every year, what will be the populati

Practice Questions

Q1
If a population of a town increases by 10% every year, what will be the population after 2 years if the current population is 1,000? (2023)
  1. 1,100
  2. 1,210
  3. 1,300
  4. 1,400

Questions & Step-by-Step Solutions

If a population of a town increases by 10% every year, what will be the population after 2 years if the current population is 1,000? (2023)
  • Step 1: Identify the current population, which is 1,000.
  • Step 2: Determine the annual growth rate, which is 10%. Convert this percentage to a decimal by dividing by 100, resulting in 0.10.
  • Step 3: Calculate the growth factor for one year by adding 1 to the growth rate: 1 + 0.10 = 1.10.
  • Step 4: Since we want to find the population after 2 years, we need to raise the growth factor to the power of 2: (1.10)^2.
  • Step 5: Calculate (1.10)^2, which equals 1.21.
  • Step 6: Multiply the current population by the result from Step 5: 1,000 * 1.21.
  • Step 7: Calculate the final result: 1,000 * 1.21 = 1,210.
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