1 / 8

Direct Variations

Direct Variations. Vocabulary. Direct Variation When two variables form a constant ratio Equation: y = kx (where k is the constant ratio) Constant of variation The ratio k = y / x (note similarity to slope ratio). Direct Variation Identification. From a graph

cybele
Download Presentation

Direct Variations

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 Variations

  2. Vocabulary • Direct Variation • When two variables form a constant ratio • Equation: y = kx (where k is the constant ratio) • Constant of variation • The ratio k = y/x (note similarity to slope ratio)

  3. Direct Variation Identification • From a graph • If the graph crosses the y-axis at (0,0), then the relationship is a direct variation • If the graph crosses the y-axis at any other point, then the relationship is NOT a direct variation

  4. Direct Variation Graphs

  5. Direct Variation Graphs y = 3x – 1 y = 3x

  6. Direct Variation Identification • From a table • If the ratios, y/x, in the table are proportional, then the relationship is a direct variation • If even one of the ratios, y/x, in the table is NOT proportional, then the relationship is NOT a direct variation

  7. Direct Variation Tables Determine whether each linear function is a direct variation. If so, state the constant of variation.

  8. Direct Variation Tables Determine whether each linear function is a direct variation. If so, state the constant of variation.

More Related