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Practice: emissions trends and measurement boundaries

These original tasks concern what a numerical comparison can and cannot establish.

Use compatible defined quantities

The first case supplies comparable emissions and denominator values. The second has a true zero baseline. The third compares an inventory with an action estimate under another framework.

Identify the question each number answers

A ratio change, an absolute change and a counterfactual impact are different quantities. The explanations keep those definitions explicit rather than choosing the most favorable-looking result.

Try the questions

Emissions rise from 100 to 120, while the denominator rises from 10 to 15. Which statement is correct?

  • A.

    Absolute emissions fall 20%

  • B.

    Intensity falls 20% while emissions rise 20%

  • C.

    Both changes are 50%

Answer and explanation

Answer: B

Calculate numerator and ratio changes against their own baselines.

A

The emissions numerator rises 20%.

B

Intensities are 10 and 8, so the ratio falls while the numerator grows.

C

50% is the denominator growth, not either other change.

Prior emissions are zero and current emissions are 10. What ordinary emissions percentage change is defined against that baseline?

  • A.

    100%

  • B.

    0%

  • C.

    It is undefined; report levels and absolute change

Answer and explanation

Answer: C

A zero baseline prevents the finite ordinary percentage calculation.

A

The ordinary change formula divides by zero; one hundred percent is not supplied.

B

This would invent a defined relative comparison.

C

The absolute difference is ten, but the relative baseline is zero.

An inventory is 100 and a separate counterfactual study claims 30 avoided. Does subtracting establish inventory emissions of 70?

  • A.

    Yes, by arithmetic alone

  • B.

    No; the measurements need separate definitions

  • C.

    The inventory must instead be 130

Answer and explanation

Answer: B

Read the framework, coverage and counterfactual before any aggregation.

A

Numerical subtraction does not establish compatible measurement boundaries.

B

An action-impact estimate is not automatically an inventory adjustment.

C

Adding the unlike quantities is also not justified by their labels.

Further references