Direct and Inverse Variation Problems: Definition & Examples


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The distance Catelyn travels is directly proportional to the time she spends on the road. If Catelyn spends 5 hours on the road, she travels 30 miles. How far will she go if she only spends 3 hours on the road?

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1. A plant grows at a rate inversely proportional to the temperature outside. At 45 degrees, it grows 2 inches per day. How many inches will it grow per day at 50 degrees?

2. On a certain credit card, customers earn a percentage of their purchases back as rewards. The percentage earned is directly proportional to the average balance on the card. With an average balance of $2,000, the reward percentage is 1.5%. What is the percentage with an average balance of $2,500?

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About This Quiz & Worksheet

This quiz and interactive worksheet can be used to assess your understanding of inverse and direct variation problems.

Quiz & Worksheet Goals

Use this quiz and printable worksheet to assess your knowledge of:

  • Direct variation
  • Inverse variation
  • Differences between direct and inverse variation

Skills Practiced

This quiz and worksheet can help you practice the following skills:

  • Knowledge application - use your knowledge to answer questions about direct variation
  • Reading comprehension - ensure that you draw the most important information from the related math lesson
  • Information recall - access the knowledge you have gained regarding inverse variation

Additional Learning

To learn more about direct and inverse variation, review the lesson on Direct and Inverse Variation Problems: Definition & Examples. This lesson covers the following objectives:

  • Define direct variation
  • Determine the difference between inverse and direct variation
  • Show examples of direct and inverse variation
  • Identify characteristics of inverse variation