Presentation is loading. Please wait.

Presentation is loading. Please wait.

11.3 Direct and Inverse Variations Objectives: 1.Recognize direct variations 2.Recognize inverse variations 3.Write direct and inverse variation equations.

Similar presentations


Presentation on theme: "11.3 Direct and Inverse Variations Objectives: 1.Recognize direct variations 2.Recognize inverse variations 3.Write direct and inverse variation equations."— Presentation transcript:

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 y

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, Quiz tomorrow Progress Report signature Outside show is a poor substitute for inner worth. Aesop


Download ppt "11.3 Direct and Inverse Variations Objectives: 1.Recognize direct variations 2.Recognize inverse variations 3.Write direct and inverse variation equations."

Similar presentations


Ads by Google