Problem preview

A-CED.3 Warmup M3-010-A09-V02

Represent constraints and systems, then interpret viable and non-viable solutions in modeling contexts.

Audit an algebraic candidate for equation and context viability

Problem

Candidate \(t~=~-3\) satisfies the algebra of a time model, but the contextual domain is \(t~\ge~0~\text{hours}\). Decide whether the candidate is viable and justify the decision.

Answer choices

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Reject t=-3 hours. It satisfies the algebra, but it is outside the contextual domain t≥0 for elapsed time.

Accept t=-3 hours because it belongs to the elapsed-time domain.

Accept t=-3 hours because an algebraic solution is always contextually viable.

Reject t=-3 hours because a negative candidate makes the original equation undefined.

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Curriculum context

Course: Math III
Standard: A-CED.3
Category: Algebra
Domain: Creating Equations
Objective: Represent constraints and systems, then interpret viable and non-viable solutions in modeling contexts.
Problem type: Audit an algebraic candidate for equation and context viability