Calculate a model emission intensity

Supplied materials

• All measurements and observations below are supplied classroom examples. They are not data from actual learners or a claim about a particular real site.
• Paper or browser document; an ordinary calculator is optional.
• Rule: Emissions intensity equals model kilograms of emissions divided by delivered service units. Formula: a/b. Variable key: a = model emissions (kg), b = delivered service units
• Distinct worked inputs and result: A distinct option emits 80 model kg for 20 service units: 80/20=4 kg per service unit.
• Assessment case 1: Supplied case 1: model emissions (kg)=120; delivered service units=30, using the explicitly named quantities. Emissions intensity equals model kilograms of emissions divided by delivered service units. What result follows?
• Assessment case 2: Supplied case 2: model emissions (kg)=150; delivered service units=50, using the explicitly named quantities. Emissions intensity equals model kilograms of emissions divided by delivered service units. What result follows?
• Assessment case 3: Supplied case 3: model emissions (kg)=180; delivered service units=60, using the explicitly named quantities. Emissions intensity equals model kilograms of emissions divided by delivered service units. What result follows?
• Assessment case 4: Supplied case 4: model emissions (kg)=200; delivered service units=40, using the explicitly named quantities. Emissions intensity equals model kilograms of emissions divided by delivered service units. What result follows?
• Assessment case 5: Supplied case 5: model emissions (kg)=240; delivered service units=80, using the explicitly named quantities. Emissions intensity equals model kilograms of emissions divided by delivered service units. What result follows?
• Assessment case 6: Supplied case 6: model emissions (kg)=300; delivered service units=100, using the explicitly named quantities. Emissions intensity equals model kilograms of emissions divided by delivered service units. What result follows?

Learn the idea

Intensity is emissions per supplied service unit. Lower intensity does not automatically mean lower total emissions if service volume grows. These are fictional factors, not certified life-cycle estimates.

Emissions intensity equals model kilograms of emissions divided by delivered service units. The formula in the supplied model is a/b. Variable key: a = model emissions (kg), b = delivered service units. Use the delivered service as denominator. Intensity and total emissions answer different questions.

A distinct option emits 80 model kg for 20 service units: 80/20=4 kg per service unit. Factors are fictional and boundary-specific. Track the quantity and unit before calculating. Explain the meaning of a positive, negative or fractional result when relevant. A numerical answer supports the stated model calculation; broader claims require the additional measurements and assumptions described here.

1. Name the measured quantities and their units before substituting values.
2. Write the stated rule and use the variable key to match each symbol to its explicitly named quantity.
3. Calculate each supplied case separately, keeping intermediate arithmetic and the result unit.
4. Explain the result in context and identify the assumption that would invalidate direct use of the rule.

Check your reasoning

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Take it further

Changed-input task: use the same stated model with model emissions (kg)=121; delivered service units=30. Expected result: approximately 4.0333333 kg/service unit. Explain what changes and keep this assumption: Factors are fictional and boundary-specific.

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