Problem preview

A-REI.12 Warmup M1-008-A07-V03

Graph linear inequalities and systems of linear inequalities as half-plane solution regions.

Model a feasible region from a context

Problem

A fundraiser sells \(x\) adult meals and \(y\) student meals. Adult meals take \(3~\text{minutes}\) to prepare, student meals take \(2~\text{minutes}\) to prepare, total prep time is \(\text{at}~\text{most}~60~\text{minutes}\), and \(\text{at}~\text{least}~20~\text{meals}\) must be sold. Model the feasible region with linear inequalities.

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2x + 3y <= 60, x + y >= 20, x >= 0, y >= 0

3x + 2y >= 60, x + y >= 20, x >= 0, y >= 0

3x + 2y <= 60, x + y <= 20, x >= 0, y >= 0

3x + 2y <= 60, x + y >= 20, x >= 0, y >= 0

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Curriculum context

Course: Math I
Standard: A-REI.12
Category: Algebra
Domain: Reasoning with Equations and Inequalities
Objective: Graph linear inequalities and systems of linear inequalities as half-plane solution regions.
Problem type: Model a feasible region from a context