Recent Lessons

Show all results for ""

Feature Overview

Ace your exams with our all-in-one platform for creating and sharing quizzes and tests.

Quizzes

Create quizzes and tests automatically from your content using AI.

Flashcards

Automatically turn your notes into digital flashcards.

Share, Export & Embed

Share with classmates or export to Excel and your learning management system.

Stats & Reporting

Auto-grading quizzes and tests with detailed stats and reports.

Mobile Apps

The smarter way to study – wherever you are.

Pricing

Search...

Graphs: Proportional vs Non-Proportional

12 Questions

100 Views

Graphs: Proportional vs Non-Proportional

Choose a study mode

Play Quiz

Study Flashcards

Spaced Repetition

Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

Is the following graph proportional or non-proportional?

Non-proportional (correct)

Proportional

Is the following graph proportional or non-proportional?

Non-proportional

Proportional (correct)

Is the following graph proportional or non-proportional?

Proportional

Non-proportional (correct)

Is the following graph proportional or non-proportional?

Non-proportional Signup and view all the answers

Is the following graph proportional or non-proportional?

Proportional Signup and view all the answers

Is the following graph proportional or non-proportional?

Proportional Signup and view all the answers

Is the following graph proportional or non-proportional?

Non-proportional Signup and view all the answers

Is the following graph proportional or non-proportional?

Proportional Signup and view all the answers

Is the following graph proportional or non-proportional?

Non-proportional Signup and view all the answers

Is the following graph proportional or non-proportional?

Proportional Signup and view all the answers

How can you tell if a graph represents a proportional relationship?

The graph must form a straight line AND the line must pass through the origin (0,0). Signup and view all the answers

How can you tell if a table of (x, y) values represents a proportional relationship?

Find all the ratios of y/x. If all the ratios are equivalent, then it's 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.