Writing Equations from Situations and Graphs

What are the two essential components needed to write a linear equation?

• Slope and x-intercept

• Slope and constant term

• Slope and y-intercept

• Y-intercept and x-intercept

In the DJ example, what does the slope represent?

• The number of hours the DJ works

• The total cost of hiring the DJ

• The setup fee for the DJ

• The cost per hour of music

What is the y-intercept in the DJ example?

• $100

• $150

• $75

• $250

How would you write the equation for the DJ example?

• y = 100x + 75

• y = 75x + 150

• y = 75x + 100

• y = 150x + 75

In the carpet example, what are the dependent and independent variables?

• Dependent: Installation cost, Independent: Delivery cost

• Dependent: Square yards of carpet, Independent: Cost

• Dependent: Delivery cost, Independent: Installation cost

• Dependent: Cost, Independent: Square yards of carpet

What is the slope in the carpet example?

• $40 per square yard

• $20 per square yard

• $26 per square yard

• $150 per square yard

Why is it important to check if the relationship is proportional in real-world problems?

• To determine the slope

• To find the y-intercept

• To calculate the total cost

• To identify any hidden fees or extra costs

What does the y-intercept represent in the carpet example?

• The total cost of the carpet

• The cost of the carpet without delivery

• The cost per square yard of carpet

• The cost of delivery and installation

How would you write the equation for the carpet example?

• y = 20x + 150

• y = 650x + 20

• y = 20x + 650

• y = 150x + 20

What does the equation y = 20x + 150 tell us about the carpet cost?

• It costs $150 for delivery and $20 per square yard of carpet

• It costs $150 for installation and $20 per square yard of carpet

• It costs $20 for delivery and $150 per square yard of carpet

• It costs $20 for installation and $150 per square yard of carpet