Tell whether the equation represents direct variation. If so, identify the constant of variation. 1)...
-
Upload
oswald-cole -
Category
Documents
-
view
227 -
download
2
Transcript of Tell whether the equation represents direct variation. If so, identify the constant of variation. 1)...
![Page 1: Tell whether the equation represents direct variation. If so, identify the constant of variation. 1) 3x – 2y = 02) x + 3y = 6.](https://reader031.fdocuments.net/reader031/viewer/2022013115/5697bffa1a28abf838cc01f1/html5/thumbnails/1.jpg)
4.6 Model Direct Variation
![Page 2: Tell whether the equation represents direct variation. If so, identify the constant of variation. 1) 3x – 2y = 02) x + 3y = 6.](https://reader031.fdocuments.net/reader031/viewer/2022013115/5697bffa1a28abf838cc01f1/html5/thumbnails/2.jpg)
Two variables x and y show direct variation provided y = ax where a≠0
◦ a is the constant of variation
◦ y varies directly with x; (Same as slope)
◦ Slope is a and y-intercept is 0 so the line passes through the origin
Direct Variation
![Page 3: Tell whether the equation represents direct variation. If so, identify the constant of variation. 1) 3x – 2y = 02) x + 3y = 6.](https://reader031.fdocuments.net/reader031/viewer/2022013115/5697bffa1a28abf838cc01f1/html5/thumbnails/3.jpg)
Tell whether the equation represents direct variation. If so, identify the constant of variation.
1) 3x – 2y = 0 2) x + 3y = 6
I. Given Equation- Direct Variation?
![Page 4: Tell whether the equation represents direct variation. If so, identify the constant of variation. 1) 3x – 2y = 02) x + 3y = 6.](https://reader031.fdocuments.net/reader031/viewer/2022013115/5697bffa1a28abf838cc01f1/html5/thumbnails/4.jpg)
Plot a point at the origin. The slope is equal to the constant rate of variation.
3) y = -1/3 x 4) -12y = -24x
II. Graph the direct variation equation
![Page 5: Tell whether the equation represents direct variation. If so, identify the constant of variation. 1) 3x – 2y = 02) x + 3y = 6.](https://reader031.fdocuments.net/reader031/viewer/2022013115/5697bffa1a28abf838cc01f1/html5/thumbnails/5.jpg)
III. Write and use a direct variation equation
The graph of a direct variation equation is shown.
Write the direct variation equation.a.
Find the value of y when x = 30.b.
![Page 6: Tell whether the equation represents direct variation. If so, identify the constant of variation. 1) 3x – 2y = 02) x + 3y = 6.](https://reader031.fdocuments.net/reader031/viewer/2022013115/5697bffa1a28abf838cc01f1/html5/thumbnails/6.jpg)
X -4 -2 2 4
Y -10 -5 5 10
IV. Working with tables
6) Given the table, state if it represents direct variation. If so, write the direct variation equation.**Hint** Find the change in outputs over change in inputs to find the slope!
![Page 7: Tell whether the equation represents direct variation. If so, identify the constant of variation. 1) 3x – 2y = 02) x + 3y = 6.](https://reader031.fdocuments.net/reader031/viewer/2022013115/5697bffa1a28abf838cc01f1/html5/thumbnails/7.jpg)
Use the values to write a direct variation equation. Remember, (Same as slope)
7) x=3, y=9 8) x=-18, y=-4
V. Given y varies directly with x. . .
![Page 8: Tell whether the equation represents direct variation. If so, identify the constant of variation. 1) 3x – 2y = 02) x + 3y = 6.](https://reader031.fdocuments.net/reader031/viewer/2022013115/5697bffa1a28abf838cc01f1/html5/thumbnails/8.jpg)
Pages: 256-258#4-26 even, 30, 36
Homework