Quantifying Proportional Relationships Using Graphs

The video tutorial teaches how to quantify the relationship between two proportional measures by examining graphs. It begins with an introduction to quantifying using quantities and coordinates, followed by a discussion on proportional versus non-proportional relationships. The importance of understanding graph scales is highlighted, and the tutorial concludes with methods to quantify proportional relationships using unit rates.

What does it mean to quantify a relationship?

• To describe it using numbers

• To describe it using shapes

• To describe it using sounds

• To describe it using colors

On a coordinate plane, which axis represents the independent variable?

• W-axis

• X-axis

• Y-axis

• Z-axis

What is a key feature of a proportional relationship on a graph?

• It has a curved line

• It starts above the origin

• It has a variable rate

• It starts at the origin

Why is it important to pay attention to the scale on a graph?

• Because it changes the color of the graph

• Because it changes the shape of the graph

• Because it affects the interpretation of data points

• Because it makes the graph look bigger

What happens when you change the scale on a graph?

• The data points disappear

• The data points remain the same

• The graph becomes a circle

• The interpretation of data points changes

What is the unit rate in the example of feet to yards?

• 4 to 1

• 3 to 1

• 5 to 1

• 2 to 1

In the example of chairs to tables, what is the unit rate?

• 4 chairs to 1 table

• 3 chairs to 1 table

• 5 chairs to 1 table

• 6 chairs to 1 table