1 / 18

Direct Variation

Direct Variation. Find the slope:. (5, 8) and (-2, 12). State which variable is independent and which is dependent. Then Find the rate of change:. Snow is 0.02 m deep after 1 hour and 0.06 m deep after 3 hours.

afi
Download Presentation

Direct 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. Direct Variation

  2. Find the slope: • (5, 8) and (-2, 12)

  3. State which variable is independent and which is dependent. Then Find the rate of change: • Snow is 0.02 m deep after 1 hour and 0.06 m deep after 3 hours. • A car is 200 km from its destination after 1 hour and 80 km from its destination after 3 hours.

  4. The diagram shows how long it takes to hear thunder after you see lightning. What general rule can you use to model this situation? 10 sec 15 sec 2 miles 3 miles

  5. Direct Variation • The ratio of two variables is constant. • Represented: • is called the constant of variation

  6. Does the equation represent a direct variation? If so, what is the constant of variation?

  7. Does the equation represent a direct variation? If so, what is the constant of variation?

  8. Does the equation represent a direct variation? If so, what is the constant of variation?

  9. Does the equation represent a direct variation? If so, what is the constant of variation?

  10. Suppose varies directly with , and when . What direct variation equation relates and ? What is the value of when ?

  11. Suppose varies directly with , and when . What direct variation equation relates and ? What is the value of when ?

  12. Suppose varies directly with , and when . What direct variation equation relates and ? What is the value of when ?

  13. Suppose varies directly with , and when . What direct variation equation relates and ? What is the value of when ?

  14. The distance a jet travels varies directly as the number of hours it flies. A jet traveled 3420 miles in 6 hours. • Write a direct variation equation for the distance flown in time . • Graph the equation • Estimate how many hours it will take for an airliner to fly 6500 miles.

  15. Weight on Mars () varies directly with weight on Earth (). The weights of the science instruments onboard the Phoenix Mars Lander are 130 lb on Earth and 50 lb on Mars. • Write an equation that related weight, in pounds on Earth (x) and on Mars (y). • Graph the equation • Estimate how much a 180 lb man on Earth will weight on Mars.

  16. Does vary directly with ? If so, write an equation for the direct variation. Hint: Remember

  17. Does vary directly with ? If so, write an equation for the direct variation. Hint: Remember

  18. Homework • Worksheet

More Related