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Problem preview
A-CED.2 Warmup M2-003-A13-V04

Create equations in two or more variables and graph them with appropriate labels and scales.

Build and graph a constraint equation or inequality

Problem

A student has \(\text{at}~\text{most}~60~\text{minutes}\). Standard problems \(x\) take \(4~\text{minutes}~\text{each}\) and challenge problems \(y\) take \(7~\text{minutes}~\text{each}\), with \(\text{both}~\text{counts}\) nonnegative integers. Build the constraint and graph its contextual feasible region using the displayed graphs, including boundary type, intercepts, and shading.

Four equal candidate graph cards. A shows a solid decreasing time-limit boundary with the lower first-quadrant region shaded. B shows only that boundary. C shows a different decreasing boundary with the lower region shaded. D shows the original boundary with the region above it shaded. Open full size
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Four variants of this problem type
Curriculum context
Course
Math II
Standard
A-CED.2
Category
Algebra
Domain
Creating Equations
Objective
Create equations in two or more variables and graph them with appropriate labels and scales.
Problem type
Build and graph a constraint equation or inequality