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If a carbon footprint of a household is reduced by 15% each year, what will be t

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Question: If a carbon footprint of a household is reduced by 15% each year, what will be the footprint after 2 years if the initial footprint is 2000 kg?

Options:

  1. 1400 kg
  2. 1600 kg
  3. 1700 kg
  4. 1800 kg

Correct Answer: 1600 kg

Solution: 

After 1 year: 2000 - 0.15 * 2000 = 1700 kg. After 2 years: 1700 - 0.15 * 1700 = 1445 kg.

If a carbon footprint of a household is reduced by 15% each year, what will be t

Practice Questions

Q1
If a carbon footprint of a household is reduced by 15% each year, what will be the footprint after 2 years if the initial footprint is 2000 kg?
  1. 1400 kg
  2. 1600 kg
  3. 1700 kg
  4. 1800 kg

Questions & Step-by-Step Solutions

If a carbon footprint of a household is reduced by 15% each year, what will be the footprint after 2 years if the initial footprint is 2000 kg?
  • Step 1: Start with the initial carbon footprint, which is 2000 kg.
  • Step 2: Calculate the reduction for the first year. Multiply the initial footprint by 0.15 (15%): 0.15 * 2000 = 300 kg.
  • Step 3: Subtract the reduction from the initial footprint: 2000 kg - 300 kg = 1700 kg. This is the footprint after 1 year.
  • Step 4: Now, calculate the reduction for the second year. Multiply the new footprint (1700 kg) by 0.15: 0.15 * 1700 = 255 kg.
  • Step 5: Subtract the second year's reduction from the footprint after 1 year: 1700 kg - 255 kg = 1445 kg. This is the footprint after 2 years.
  • Percentage Reduction – Understanding how to calculate a percentage reduction from an initial value over multiple periods.
  • Compound Reduction – Recognizing that the reduction applies to the new value each year, not the original value.
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