Describe the Relationship Between Two Measures by Examining the Graph of a Line

The video tutorial explains how to describe relationships between two measures using line graphs. It covers the concepts of independent and dependent variables, and how to identify proportional and non-proportional relationships by examining the graph's origin and constant rate. The tutorial includes examples of analyzing graphs, such as euros to dollars and stamps to cost, to determine if they represent proportional relationships.

What is the role of the independent variable in a graph?

• It is the variable that is controlled or manipulated.

• It is the variable that depends on the output.

• It is always placed on the Y-axis.

• It determines the output variable.

How can you identify a proportional relationship in a graph?

• The line is curved and does not pass through the origin.

• The line is straight and passes through the origin.

• The line is straight but does not pass through the origin.

• The line is curved and passes through the origin.

In the context of graphs, what does it mean if a line does not start at the origin?

• It shows that the independent variable is zero.

• It means the graph is incorrect.

• It indicates a non-proportional relationship.

• It indicates a proportional relationship.

What does the graph of euros to US dollars in July 2013 demonstrate?

• A non-proportional relationship with a constant rate.

• A proportional relationship with a constant rate.

• A fluctuating relationship with no constant rate.

• A non-proportional relationship with a fluctuating rate.

Why is the cost of stamps considered a proportional relationship?

• Because the cost of stamps is less than $1 but does not start at the origin.

• Because the cost of stamps is constant and the line passes through the origin.

• Because the cost of stamps is always more than $1.

• Because the cost of stamps fluctuates over time.