1 / 5

11.2: Direct & Inverse Variation

11.2: Direct & Inverse Variation. Integrated Math 2. Direct Variation. The variables x and y vary directly if for a constant k, y = k· x where k ≠ 0 - k is called the constant of variation - k is always a number!!! - k is also known as the slope - Graph!!!

lang
Télécharger la présentation

11.2: Direct & Inverse 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. 11.2: Direct & Inverse Variation Integrated Math 2

  2. Direct Variation The variables x and y vary directly if for a constant k, y = k· x where k ≠ 0 - k is called the constant of variation - k is always a number!!! - k is also known as the slope - Graph!!! Example: Find an equation (y = k· x) that relates x and y such that x and y vary directly, and y = 4 when x = 2.

  3. Inverse Variation The variables x and y vary inversely if for a constant k, y = k/x where k ≠ 0 - Graph!!! Example: Find an equation that relates x and y such that x and y vary inversely, and y = 4 when x = 2.

  4. Try these: 1. Suppose y = 6 and x = 2. Find an equation that relates x and y such that: (a) x and y vary directly (b) x and y vary inversely

  5. Variation models in real-life: Direct, Inverse or Neither??? 1. The area B of the base and the height h of a prism with a volume of 10 cubic units are related by the equation B· h = 10. 2. The mass m and the volume V of a substance are related by the equation 2· V= m, where 2 is the density of the substance.

More Related