Exploring Proportional and Nonproportional Relationships in Algebra

This lesson covers proportional and non-proportional relationships. It begins with an example of a soccer team donating money based on goals scored, illustrating a proportional relationship. The lesson then moves to a table example showing a non-proportional relationship, explaining how to adjust equations accordingly. The video concludes with graph analysis, emphasizing the differences between proportional and non-proportional relationships.

What is the main focus of lesson three six?

• Linear equations

• Exponential functions

• Proportional and non-proportional relationships

• Quadratic equations

In the soccer team example, how much money is donated for each goal scored?

• $75

• $50

• $125

• $100

What type of relationship is shown when the data points form a straight line on a graph?

• Exponential

• Quadratic

• Proportional

• Non-linear

Using the equation y = 75x, how much money will be donated for 12 goals?

• $800

• $950

• $850

• $900

What is the equation for the relationship between hours and miles if M = 1.5H?

• M = 2H

• M = 1.5H

• M = H + 1.5

• M = H - 1.5

In the table example, what is the slope of the relationship?

• -2

• 1

• 2

• -1

What adjustment is made to the equation y = -x to fit the table data?

• Subtract 4

• Subtract 2

• Add 4

• Add 2

How can you tell if a relationship is proportional by looking at a graph?

• It has a negative slope

• It has a positive slope

• It goes through the point (0,0)

• It forms a curve

What is the slope of the non-proportional relationship in the graph example?

• 1

• 2

• 3

• 4

What is the final equation for the non-proportional relationship in the graph example?

• y = 2x + 4

• y = 2x - 4

• y = 2x + 2

• y = 2x - 2