1 / 9

9.1 Inverse & Joint Variation

9.1 Inverse & Joint Variation. p.534 What is direct variation? What is inverse variation? What is joint variation?. Just a reminder from chapter 2. Direct Variation Use y=kx. Means “y varies directly with x.” k is called the constant of variation. New stuff!. Inverse Variation

stewart-velazquez
Download Presentation

9.1 Inverse & Joint 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 & Joint Variation p.534 What is direct variation? What is inverse variation? What is joint variation?

  2. Just a reminder from chapter 2 Direct Variation Use y=kx. Means “y varies directly with x.” k is called the constant of variation.

  3. New stuff! Inverse Variation “y varies inversely with x.” k is the constant of variation.

  4. Ex: tell whether x & y show direct variation, inverse variation, or neither. • xy=4.8 • y=x+4 Inverse Variation Hint: Solve the equation for y and take notice of the relationship. Neither Direct Variation

  5. Ex: The variables x & y vary inversely, and y=8 when x=3. • Write an equation that relates x & y. k=24 • Find y when x= -4. y= -6

  6. Joint Variation • When a quantity varies directly as the product of 2 or more other quantities. • For example: if z varies jointly with x & y, then z=kxy. • Ex: if y varies inversely with the square of x, then y=k/x2. • Ex: if z varies directly with y and inversely with x, then z=ky/x.

  7. Examples: Write an equation. • y varies directly with x and inversely with z2. • y varies inversely with x3. • y varies directly with x2 and inversely with z. • z varies jointly with x2 and y. • y varies inversely with x and z.

  8. What is direct variation? y varies directly with x (y = kx) • What is inverse variation? y varies inversely with x (y = k/x) • What is joint variation? A quantity varies directly as the product of two or more other quantities ( y = kxy)

  9. Assignment p. 537 21-33, 39-43

More Related