Show the Relationship Between Variables Using a Graph

This video tutorial explains the relationship between independent and dependent variables using graphs. It covers the types of data, such as discrete and continuous, and how they can be represented graphically. The tutorial also provides a real-world example of calculating a phone bill based on text messages sent, demonstrating how to use function tables and equations to model variable relationships. Key concepts include understanding the roles of independent and dependent variables and clarifying common misconceptions about their interactions.

What type of data is represented by favorite colors?

• Descriptive data

• Numerical data

• Discrete data

• Continuous data

Which axis is used to plot the independent variable on a coordinate graph?

• Vertical axis

• Diagonal axis

• Horizontal axis

• None of the above

In the cell phone bill example, what is the independent variable?

• The cost per text message

• The number of text messages sent

• The total phone bill

• The monthly subscription fee

How much does it cost to send 10 text messages according to the example?

• $0.40

• $0.10

• $0.20

• $0.30

What equation represents the relationship between the number of texts and the phone bill?

• b = 0.02m

• m = 0.02b

• b = m + 0.02

• 0.02b = m

What is a common misunderstanding about dependent variables?

• They are always numerical

• They affect the independent variable

• They change independently

• They are plotted on the x-axis

Why can't the phone bill affect the number of texts sent?

• Because the bill is fixed

• Because texts are free

• Because texts are unlimited

• Because the bill is calculated after texts are sent