1 / 8

8.1-Variation Models

8.1-Variation Models. a is the constant of variation Direct Variation As x ↑, y ↑ ( Multiplication if y alone) “y varies directly with x” Inverse (indirect) Variation As x ↑, y ↓ ( Division if y alone: ) “y varies inversely with x”. Examples:.

lydie
Download Presentation

8.1-Variation Models

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. 8.1-Variation Models • a is the constant of variation • Direct Variation As x ↑, y ↑ (Multiplication if y alone) “y varies directly with x” • Inverse (indirect) Variation As x ↑, y ↓ (Division if y alone: ) “y varies inversely with x”

  2. Examples: • 1. Are the following direct, inverse or neither? A) xy=7 B) y = x + 3 C) D) y=2x E) y= F) 3x=y G) xy=0.75 H) y=2x-5 2. Text # 21 & 23

  3. Examples: • 3. y varies inversely with x, and y=7 when x=4. Write an equation that relates x and y. Then find y when x=-2.

  4. Examples: • X and y vary inversely. Use the given values to write an equation relating x and y. Then find y when x=2. • 4. x=4, y=3 • 5. x=8, y=-1 • 6. x= ½, y=12

  5. Examples: • 7. y varies directly with x, and x=2 when y=8. Write an equation relating x and y. Then find y when x=5. • 8. x and y vary directly and x=-2 when y=12. Write and equation relating x and y. Then find y when x=1/2.

  6. Joint Variation • Joint Variation: When a quantity varies directly with the PRODUCT of TWO OR MORE quantities. (a is the constant of variation) • Ex: z=axy z varies jointly with x and y • Ex: p=aqrs p varies jointly with q, rand s

  7. Examples: • 9. Write the equations relating x, y and z given that z varies jointly with x and y. Then find z when x=-2 and y=5. • A) x=1, y=2, z=7 • B) x=4, y=-3, z=24 • C) x=-6, y=-4, z=56

  8. Examples: • 10. Write an equation for the relationship. • A) x varies inversely with y and directly with w • B) p varies jointly with q and r and inversely with s. • C)f varies jointly with m and the square of b

More Related