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Algebra 1

2.12.1 Sketching a Graph to Represent an Equation

Algebra 12.12.1 Sketching a Graph to Represent an Equation

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Warm Up

For 1 - 3 use the following information:

A homeowner is making plans to landscape her yard. She plans to hire professionals to install grass sod in some parts of the yard and flower beds in other parts.
Grass sod installation costs $2 per square foot and flower bed installation costs $12 per square foot. Her budget for the project is $3,000.
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1.

Write an equation that represents the square feet of grass sod, xx, and the square feet of flower beds, yy, that she could afford if she used her entire budget.

2.

Use the graphing tool or technology outside the course. Graph your equation from question 1 that represents this scenario using the Desmos tool below.

3.

Explain your reasoning.

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© May 21, 2025 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike License . The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.