1. 11.3 Direct and Inverse Variations Objectives: 1.Recognize direct variations 2.Recognize inverse variations 3.Write direct and inverse variation equations 4.Graph direct and inverse variation equations 5.Use direct and inverse variations in real life Vocabulary: direct variation, inverse variation, constant of variation

2. eat food – weight gain DirdirsInninns

3. exercise – weight gain Dirdirs eat food – weight gain Inninns

4. study time - grades Dirdirs eat food – weight gain Inninns exercise – weight gain

5. speed – wind resistance Dirdirs eat food – weight gain study time - grades Inninns exercise – weight gain

6. speed – gas mileage Dirdirs eat food – weight gain study time – grades speed – wind resistance Inninns exercise – weight gain

7. temperature - life of an ice cube Dirdirs eat food – weight gain study time – grades speed – wind resistance Inninns exercise – weight gain speed – gas mileage

8. volume - distance away Dirdirs eat food – weight gain study time – grades speed – wind resistance Inninns exercise – weight gain speed – gas mileage temp. - life of an ice cube

9. Thermostat setting - gas bill (winter) Dirdirs eat food – weight gain study time – grades speed – wind resistance Inninns exercise – weight gain speed – gas mileage temp. - life of an ice cube volume - distance away

10. thermostat setting- electric bill (summer) Dirdirs eat food – weight gain study time – grades speed – wind resistance thermostat - gas bill (w) Inninns exercise – weight gain speed – gas mileage temp. - life of an ice cube volume - distance away

11. work hours - free time hours Dirdirs eat food – weight gain study time – grades speed – wind resistance thermostat - gas bill (w) Inninns exercise – weight gain speed – gas mileage temp. - life of an ice cube volume - distance away thermostat - electric bill (s)

12. work hours - spending money Dirdirs eat food – weight gain study time – grades speed – wind resistance thermostat - gas bill (w) Inninns exercise – weight gain speed – gas mileage temp. - life of an ice cube volume - distance away thermostat - electric bill (s) work hours - free time hours

13. days between shower - # of friends Dirdirs eat food – weight gain study time – grades speed – wind resistance thermostat - gas bill (w) work hours - spending $ Inninns exercise – weight gain speed – gas mileage temp. - life of an ice cube volume - distance away thermostat - electric bill (s) work hours - free time hours

14. make some up Dirdirs eat food – weight gain study time – grades speed – wind resistance thermostat - gas bill (w) work hours - spending $ Inninns exercise – weight gain speed – gas mileage temp. - life of an ice cube volume - distance away thermostat - electric bill (s) work hours - free time hours shower cycle - # of friends

15. Variations Dirdirs eat food – weight gain study time – grades speed – wind resistance thermostat - gas bill (w) work hours - spending $ Inninns exercise – weight gain speed – gas mileage temp. - life of an ice cube volume - distance away thermostat - electric bill (s) work hours - free time hours shower cycle - # of friends

16. Direct Variation – as one variable increases or decreases, the other variable does the same Inverse Variation – as variable increases or decreases, the other variable does the opposite

17. Writing equations of variations: 1.Determine if direct or inverse 2.Plug in x and y to find the constant k 3.Write the equation with x and y When x is 3, y is 12. Find the equation that relates x and y directly.

18. Writing equations of variations: 1.Determine if direct or inverse 2.Plug in x and y to find the constant k 3.Write the equation with x and y When x is 4, y is 32. Find the equation that relates x and y directly.

19. Writing equations of variations: 1.Determine if direct or inverse 2.Plug in x and y to find the constant k 3.Write the equation with x and y When x is 45, y is 81. Find the equation that relates x and y directly.

20. Writing equations of variations: 1.Determine if direct or inverse 2.Plug in x and y to find the constant k 3.Write the equation with x and y When x is 3, y is 12. Find the equation that relates x and y inversely.

21. Writing equations of variations: 1.Determine if direct or inverse 2.Plug in x and y to find the constant k 3.Write the equation with x and y When x is 2, y is 5. Find the equation that relates x and y inversely.

22. Writing equations of variations: 1.Determine if direct or inverse 2.Plug in x and y to find the constant k 3.Write the equation with x and y When x is 30, y is 7.5. Find the equation that relates x and y inversely.

23. Writing equations of variations: 1.Determine if direct or inverse 2.Plug in x and y to find the constant k 3.Write the equation with x and y Write an equation that relates these variables. x1234 y12643

24. Writing equations of variations: 1.Determine if direct or inverse 2.Plug in x and y to find the constant k 3.Write the equation with x and y Write an equation that relates these variables. x1234 y6121824

25. Graph the variation: 1.Solve for y 2.Make a table and pick some x’s 3.Plug x’s in and find y’s 4.Plot points 5.Connect the dots, La-La-La

26. Graph the variation: 1.Solve for y 2.Make a table and pick some x’s 3.Plug x’s in and find y’s 4.Plot points 5.Connect the dots, La-La-La

27. The area covered by a truckload of mulch and the depth of the mulch are inversely related. A load covers an area of 325 ft 2 six inches deep. Write a model relating the area and the mulch depth. Use the model to find the area covered by mulch 4 inches deep.

28. Algebra 1 Assignment: 11.3 p659 #12-36 even, 37-42 11.1-3 Quiz tomorrow Progress Report signature Outside show is a poor substitute for inner worth. Aesop