Identifying Variables and Relationships

The lesson covers identifying independent and dependent variables using real-world examples. It explains how one variable can depend on another, using scenarios like buying shirts and car travel to illustrate these concepts. The lesson also introduces equations representing these relationships and concludes with a preview of the next topic on graphs.

What is the main focus of lesson 12.2?

• Understanding fractions

• Solving quadratic equations

• Learning about historical events

• Identifying independent and dependent quantities from a table

In real-world situations, what does one variable quantity often do?

• Remain constant

• Have no relation to other quantities

• Change randomly

• Depend on another quantity

What is the dependent variable in the shirt buying example?

• The number of shirts bought

• The color of the shirts

• The amount spent

• The brand of the shirts

How much does Sam spend if he buys two shirts?

• $20

• $60

• $80

• $40

What does the independent variable represent in the table?

• The discount received

• The total cost

• The number of shirts

• The amount spent

What is the equation that represents the relationship between the number of shirts and the amount spent?

• y = 40x

• y = 20x

• y = 10x

• y = 30x

What type of relationship is represented by the equation y = 20x?

• Additive

• Subtractive

• Divisive

• Multiplicative

If Sam buys 10 shirts, how much does he spend?

• $200

• $250

• $150

• $100

In the car traveling example, what does the variable x represent?

• The speed of the car

• The distance traveled

• The time in hours

• The fuel consumption

What is the rate of the car's travel in the example?

• 30 km/h

• 45 km/h

• 75 km/h

• 60 km/h