1 / 10

Understanding Combined Variation in Algebraic Equations

Learn how to identify and solve problems involving direct, inverse, and combined variation in algebraic equations. Get step-by-step explanations and examples to master this algebra concept.

valentina-ovid
Télécharger la présentation

Understanding Combined Variation in Algebraic Equations

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. k = xy or

  3. Ex 1 Suppose that x and y vary inversely. If x = 7 and y = 4, write a function.

  4. Ex 2 • Direct, inverse, or neither?

  5. Ex 3 • Direct, inverse, or neither?

  6. Ex 4 • Direct, inverse or neither?

  7. Combined variation • y varies directly with the square of x: y = kx2 • y varies inversely with the cube of x: y = k/x3 • z varies jointly with x and y and inversely with w: z = kxy/w • z varies directly with x and inversely with the product of w and y: z = kx/wy

  8. Ex 5 Mass m of a moving object is related to its kinetic energy k and its velocity v by m = 2k/v2. Describe the relationship using combined variation.

  9. Ex 6 Describe using combined variation:

  10. Ex 7 The area of an equilateral triangle varies directly with the square of the radius r of its circumscribed circle. The area of an equilateral triangle for which r =2 is

More Related