1 / 6

9.1 Inverse Variation

9.1 Inverse Variation. A direct variation is a linear function of the form y = kx. A function of the form y = k/x is called an inverse variation . k is the nonzero constant of variation. Example:

kermit-miranda
Download Presentation

9.1 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. 9.1 Inverse Variation

  2. A direct variation is a linear function of the form y = kx. A function of the form y = k/x is called an inverse variation. k is the nonzero constant of variation.

  3. Example: Suppose that x and y vary inversely, and x=3 when y=-5. Write the function that models the inverse variation. y = k/x -5 = k/3 k = -15 so y = -15/x

  4. Combined variation: combines direct and inverse variations in more complicated relationships. Examples: y varies directly with the square of x y = kx2 z varies jointly with x and y z = kxy z varies directly with x and inversely with the product of w and y. z = kx/(wy)

  5. Write a model if z varies directly with x and inversely with y. When x=6, y=2, z=15. Find z when x=4 and y=9 Answer: z= 5x/y z = 20/9

  6. Hw pg 481 1-27 all

More Related