Directly Proportional: Definition, Equation & Examples


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question 1 of 3

Write a general formula to describe the following variation: F is directly proportional to the square of d, and F = 40 when d = 5.

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1. The volume of a sphere is directly proportional to the cube of its radius, r. The constant of proportionality is 4pi/3. Calculate the volume of the sphere when the radius is 2 cm.

2. John travels in a car moving at a constant speed. The distance he travels is directly proportional to time. If John travels 360 miles in 8 hours, how far will he travel in 20 hours.

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About This Quiz & Worksheet

In this quiz, you'll need to solve problems that involve things being directly proportional. Additionally, you will need to identify the correct formula for a given variation.

Quiz & Worksheet Goals

This quiz will require you to use your understanding of directly proportional items to solve problems and find:

  • The volume of a sphere
  • Distance traveled
  • Proportionality constant and temperature of a gas

Skills Practiced

You will also be improving your abilities related to:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on directly proportional variables
  • Knowledge application - use your knowledge about directly proportional quantities to select a formula for a variation
  • Problem solving - use acquired knowledge to solve practice problems involving objects that are directly proportional

Additional Learning

When you're ready to increase what you know about direct proportionality, you can study the lesson titled Directly Proportional: Definition, Equation & Examples. Read this lesson and learn about:

  • The three major variations in mathematics
  • Graphing a proportionality constant
  • Proportional variables in chemistry and geometry