Problem preview

A-CED.3 Warmup M3-010-A01-V02

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

Write a polynomial constraint for a design or revenue context

Problem

An open box has volume \(x(10~-~2x)(12~-~2x)\) and requires volume exactly \(100\). Write the polynomial equation and feasible design domain.

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x(10-2x)(12-2x)>100 with 0<x<5

x(10-2x)(12-2x)=100

x(10+2x)(12+2x)=100 with 0<x<5

x(10-2x)(12-2x)=100 with 0<x<5

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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: Write a polynomial constraint for a design or revenue context