1 / 10

Variation

Variation. Chapter 9.1. Direct Variation. As x increases/decreases, y increases/decreases too. y = kx k is called the Constant of Variation k ≠ 0 “y varies direct with x” or “y varies directly as x”. Inverse Variation. x and y vary inversely if xy = k or

hateya
Télécharger la présentation

Variation

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Variation Chapter 9.1

  2. Direct Variation As x increases/decreases, y increases/decreases too. y = kx k is called the Constant of Variation k ≠ 0 “y varies direct with x” or “y varies directly as x”

  3. Inverse Variation x and y vary inversely if xy = k or k is still called the Constant of Variation and k ≠ 0 “y varies inversely with x” or “y varies inversely as x”

  4. Joint Variation Occurs when a quantity varies directly with two or more other quantities. z = kxy Again, k is the Constant of Variation and k ≠ 0 “z varies jointly with x and y”

  5. Summary Of Variation • Direct Variation y = kx • Inverse Variation • Joint Variation z = kxy • ***k is the Constant of Variation

  6. Determining Variation • Tell whether x and y show direct variation, inverse variation, or neither… • Solve for y • See if it matches one of the formulas: y = kx or • No match means “Neither”

  7. Determining Variation • Tell Whether the following is direct variation, inverse variation or neither

  8. Determining Variation • Tell Whether the following is direct variation, inverse variation or neither

  9. Determining Variation • Tell Whether the following is direct variation, inverse variation or neither

  10. Using Variation to Find Values • Given the Type of Variation and Values for x & y • Write the variation formula • Substitute the given values • Solve for k • Use the k you found to write a specific formula • Use this formula and given condition to solve for missing variable.

More Related