Compare a service-scaled emission total

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: Total model emissions equal kilograms per service unit multiplied by service units. Formula: a*b. Variable key: a = intensity (kg/service unit), b = service units
• Distinct worked inputs and result: A distinct model intensity 1.2 kg/service unit over 50 units gives 1.2×50=60 kg.
• Assessment case 1: Supplied case 1: intensity (kg/service unit)=2; service units=30, using the explicitly named quantities. Total model emissions equal kilograms per service unit multiplied by service units. What result follows?
• Assessment case 2: Supplied case 2: intensity (kg/service unit)=3; service units=40, using the explicitly named quantities. Total model emissions equal kilograms per service unit multiplied by service units. What result follows?
• Assessment case 3: Supplied case 3: intensity (kg/service unit)=1.5; service units=60, using the explicitly named quantities. Total model emissions equal kilograms per service unit multiplied by service units. What result follows?
• Assessment case 4: Supplied case 4: intensity (kg/service unit)=4; service units=25, using the explicitly named quantities. Total model emissions equal kilograms per service unit multiplied by service units. What result follows?
• Assessment case 5: Supplied case 5: intensity (kg/service unit)=2.5; service units=80, using the explicitly named quantities. Total model emissions equal kilograms per service unit multiplied by service units. What result follows?
• Assessment case 6: Supplied case 6: intensity (kg/service unit)=5; service units=20, using the explicitly named quantities. Total model emissions equal kilograms per service unit multiplied by service units. What result follows?

Learn the idea

A supplied intensity can estimate a total only when its boundary and service definition match. Include assumptions rather than claiming a certified environmental outcome.

Total model emissions equal kilograms per service unit multiplied by service units. The formula in the supplied model is a*b. Variable key: a = intensity (kg/service unit), b = service units. Match the service unit to the intensity definition. Do not omit upstream or downstream impacts if the scope requires them.

A distinct model intensity 1.2 kg/service unit over 50 units gives 1.2×50=60 kg. The estimate uses a supplied model factor. 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 intensity (kg/service unit)=3; service units=30. Expected result: 90 kg. Explain what changes and keep this assumption: The estimate uses a supplied model factor.

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