←
Sketching a Graph to Represent an Equation

2.12.1 Sketching a Graph to Represent an Equation

2.12.1 • Sketching a Graph to Represent an Equation

Warm Up

For questions 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.
insert alt text
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.

Compare your answer: Your answer may vary, but here is a sample.

2x+12y=3,0002x+12y=3,000

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.

Compare your answer:

The graph of a line on the coordinate plane. The x-axis label indicates it represents the square feet of grass sod. The y-axis label says it represents the square feet of flower beds.
Access multimedia content
3.

Explain your reasoning.

Compare your answer:

Your answer may vary, but here is a sample. The graph shows that the more sod she purchases, the less flower beds she will be able to purchase.