Understanding Proportional Relationships

This page introduces the fundamental concepts of proportionale zuordnung and its practical applications. The relationship is characterized by corresponding increases between two quantities.

Definition: In a proportional relationship, as one quantity increases, the other quantity increases proportionally.

Example: A pricing example where 1kg of pasta costs €10, so 10kg would cost €100, demonstrating dreisatz beispiele in practice.

Highlight: The graph of a proportional relationship is always a straight line passing through the origin (0,0).

Key characteristics include:

• All points lie on a straight line
• Values increase linearly
• Doubling or tripling the input value (x) results in the same multiplication of the output value (y)
• Uses the proportionality factor (k) for calculations

Vocabulary: The proportionality factor (k) is the constant ratio between corresponding values in a proportional relationship.