Solving Proportional Relationship Problems

From the study guide

Course Outline

  1. Recognizing Proportional Relationships
  2. Solving with Tables
  3. Solving with Graphs
  4. Real-World Proportional Problems
  5. Explaining and Checking Solutions

1. Recognizing Proportional Relationships

Key Concepts & Definitions

  • Proportional relationship: connects two quantities so that their values change at a consistent rate.

Essential Points

  • The relationship between the number of tests graded by a machine and the time is proportional when the machine grades 96 tests in 2 minutes.

Memory Hook

Constant rate → proportional relationship

2. Solving with Tables

★ Must-know

  • 🔄 A table-solving method is to: organize corresponding values, extend the consistent relationship, use the completed table to find the unknown value

  • A 6-ounce package of fruit snacks contains 45 pieces, so a proportional table gives 15 pieces for 2 ounces and can be used to find the number of pieces in a 10-ounce package.

Further detail

  • Brooke pays $13.52 for 8 bottled teas, and the proportional relationship can be extended in a table to determine the cost of 12 bottled teas.

Memory Hook

Given values → equivalent rate → unknown value

3. Solving with Graphs

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Practice quiz preview

1. What feature identifies a proportional relationship between two quantities?

2. A machine grades 96 tests in 2 minutes at a consistent rate. Which relationship is proportional?

3. How should a proportional problem be solved using a table?

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Flashcard preview

What defines a proportional relationship between two quantities?

Their values change at a consistent rate.

What is the first step to solve a proportional problem with a table?

Organize corresponding values.

How do you find the unknown value in a proportional table?

Use the completed table after extending the consistent relationship.

How many pieces are in a 6-ounce package of fruit snacks?

45 pieces.

How many pieces correspond to 2 ounces in the proportional table?

15 pieces.

What can the proportional table find for a 10-ounce package of fruit snacks?

The number of pieces.

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Frequently asked questions

What does the Solving Proportional Relationship Problems study guide cover?

It covers the core concepts of Solving Proportional Relationship Problems, organized by topic with the key definitions, explanations and takeaways, so it's easier to learn and remember.

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How many questions are in the Solving Proportional Relationship Problems quiz?

The practice quiz has 10 multiple-choice questions, each with an explanation. Use it to check what you know and find your gaps.

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How do I study Solving Proportional Relationship Problems with flashcards?

There are 19 flashcards on Solving Proportional Relationship Problems, with a question on the front and the answer on the back. Try to recall each answer before you flip, and let spaced repetition bring back the ones you miss.

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