Questions and Answers
Is the following graph proportional or non-proportional?
Is the following graph proportional or non-proportional?
Is the following graph proportional or non-proportional?
Is the following graph proportional or non-proportional?
Signup and view all the answers
Is the following graph proportional or non-proportional?
Signup and view all the answers
Is the following graph proportional or non-proportional?
Signup and view all the answers
Is the following graph proportional or non-proportional?
Signup and view all the answers
Is the following graph proportional or non-proportional?
Signup and view all the answers
Is the following graph proportional or non-proportional?
Signup and view all the answers
Is the following graph proportional or non-proportional?
Signup and view all the answers
How can you tell if a graph represents a proportional relationship?
Signup and view all the answers
How can you tell if a table of (x, y) values represents a proportional relationship?
Signup and view all the answers
Study Notes
Graphs: Proportional vs Non-Proportional
- Proportional graphs form a straight line that passes through the origin (0,0).
- Non-proportional graphs do not maintain a constant ratio between the x and y values.
Definitions
- Proportional: Indicates a direct relationship where the ratio of y to x remains constant.
- Non-proportional: Indicates a relationship where the ratio of y to x changes.
Identifying Proportional Relationships
- Graphs that represent proportional relationships will show a straight line through the origin.
- For tables of (x, y) values, find all ratios of y/x; if all ratios are equivalent, it indicates a proportional relationship.
Understanding Ratios
- Consistent ratios across various points in a graph or table signify proportionality.
- Variations in ratios suggest non-proportionality, indicating a changing relationship between the variables.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
This quiz explores the differences between proportional and non-proportional graphs. It covers key concepts such as the characteristics of each type of graph, how to identify proportional relationships, and the importance of ratios in these contexts. Test your understanding of graph representations and their relationships with variables.
