Problem preview

A-CED.3 Warmup M3-010-A10-V03

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

Choose the optimal feasible candidate after checking all constraints

Problem

Candidate roots are \(x~=~-2,~1,~\text{and}~4\), but only positive \(x\) is viable. The objective is \(8\) at \(x~=~1\) and \(15\) at \(x~=~4\). Reject nonviable roots and determine the maximizing candidate.

Answer choices

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Reject x = -2; x = 1 and x = 4 are equally optimal because both are viable.

Choose x = -2 because it is a root.

Reject x = -2 and choose x = 1.

Reject x = -2 and choose x = 4.

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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: Choose the optimal feasible candidate after checking all constraints