Proportional Relationships and Characteristics

This lesson focuses on identifying proportional and non-proportional relationships in tables. It introduces the formula for constant proportionality, k = y/x, and demonstrates its application through examples. The lesson concludes with a summary of key points, emphasizing the importance of the y-intercept in determining proportionality.

What is the main goal of the lesson on proportional and non-proportional situations?

• To learn how to graph equations

• To determine if a table is proportional

• To understand linear functions

• To solve quadratic equations

Which formula is used to determine if a table represents a proportional relationship?

• k = y/x

• k = y - x

• k = x/y

• k = x + y

What indicates a table represents a proportional relationship?

• A non-linear graph

• A linear graph

• Consistent k values for each pair

• Different k values for each pair

In the first example, what is the constant k value for the table?

• 5/3

• 10/6

• 20/12

• 15/9

What is the greatest common factor used to simplify 15/9 in the first example?

• 3

• 5

• 2

• 4

In the second example, why is the table not proportional?

• The k values are different

• The table is not linear

• The y values are not consistent

• The x values are not consistent

What is the k value for the first pair in the second example?

• 7/1

• -5/1

• -1/3

• 3/5

What is a key characteristic of a non-proportional linear relationship?

• It has a constant k value

• It is non-linear

• It does not pass through the origin

• It passes through the origin

What is the significance of the y-intercept in determining proportional relationships?

• It must be greater than one

• It must be zero

• It must be negative

• It must be positive

What should you check to identify proportional relationships in graphs, equations, and tables?

• The x-intercept

• The slope of the line

• The color of the graph

• The y-intercept