Proportional vs. Non-Proportional Relationships in Graphs

This video tutorial covers the concept of proportional relationships on graphs. It explains how to graph these relationships using tables, highlights the characteristics of proportional graphs, and provides examples and non-examples. The lesson emphasizes that proportional relationships must form a straight line passing through the origin. The video concludes with practice exercises to reinforce the concepts learned.

What does the first column in a table of values usually represent?

• The slope of the line

• The intercept

• X values

• Y values

What are the two requirements for a graph to represent a proportional relationship?

• A straight line and not passing through the origin

• A curved line and passing through the origin

• A straight line and passing through the origin

• None of the above

In the t-shirt sales example, what indicates a proportional relationship?

• The line is curved

• The line does not pass through the origin

• The fundraiser's effectiveness

• The line is straight and passes through the origin

Why is the relationship between rounds of golf played and rounds on par not considered proportional?

• It does not form a straight line

• It forms a straight line but does not pass through the origin

• It passes through the origin but is not a straight line

• It is both a straight line and passes through the origin

What makes the study time versus correct answers graph a non-proportional relationship?

• It is a straight line that passes through the origin

• It is a curved line that does not pass through the origin

• It is a curved line that passes through the origin

• It is a straight line that does not pass through the origin

What does Kaz's performance with arrows and bull's-eyes demonstrate?

• Ineffectiveness in archery

• A proportional relationship

• A non-proportional relationship

• A curved line graph

What is incorrect about the graph with x=5 and varying y values?

• It does not pass through the origin

• It passes through the origin

• It is not a straight line

• It is a curved line

Why is the relationship with points (6,2), (2,6), (6,10), and (10,6) not proportional?

• It is a straight line through the origin

• It is a curved line through the origin

• It is a straight line but does not pass through the origin

• None of the above

What are the essential characteristics of a proportional relationship on a graph?

• None of the above

• Straight line and passing through the origin

• Curved line and passing through the origin

• Straight line and not passing through the origin

What does the graph of a proportional relationship always include?

• A straight line that does not pass through the origin

• A curved line

• A line that does not pass through the origin

• A straight line that passes through the origin