1 / 13

Understanding Direct and Indirect Variation in Mathematics

This guide explains the concepts of direct and indirect variation, focusing on their definitions and mathematical representations. Direct variation occurs when there is a linear relationship between two variables, represented as Y = kX. If the ratio of Y to X is constant, it indicates direct variation. In contrast, indirect variation is described by the equation Y = k/X, where Y and X multiply to yield a constant value. Examples, including equations and graphs, illustrate both concepts. Test your skills by identifying direct variation examples and creating charts for inverse variation.

jaxon
Download Presentation

Understanding Direct and Indirect Variation in Mathematics

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. Direct vs. indirect variation

  2. Direct variation • A linear relationship between two variables, written in the form Y=KX or K= Huh? What this means is the Y’s will be the X’s times the same number

  3. Another short cut • If Y divided by X always gives you the same number then it is direct variation. • I remember this because direct and divide by start with “D”

  4. Example as table • Each X is multiplied by 3 to get the Y value

  5. Example as graph

  6. Example as equation • Y=3x • Y=1/2X • 2y=X because divide both sides by 2 resulting Y=1/2X

  7. You try which examples are direct variation • Y=X+3 • (0,0)(1,6)(2,12) 3.

  8. Inverse variation • Relationship between two variable written Y= K/x Huh, again? If Y equals a constant divided by a given X, then it is an inverse variation.

  9. Another short cut • If you multiple X and Y and they always equal the same constant • then it is an inverse variation

  10. Example as graph

  11. Example as chart

  12. You try • This time you create a chart containing an inverse variation.

  13. summary

More Related