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Is this a direct variation? Course 2 Identifying DV xy -2-4 -2 00 12 24 xy 00 16 212 318 424 xy 36 510 714 48 612.

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Presentation on theme: "Is this a direct variation? Course 2 Identifying DV xy -2-4 -2 00 12 24 xy 00 16 212 318 424 xy 36 510 714 48 612."— Presentation transcript:

1 Is this a direct variation? Course 2 Identifying DV xy -2-4 -2 00 12 24 xy 00 16 212 318 424 xy 36 510 714 48 612

2 Is this a direct variation? Course 2 Identifying DV

3 Insert Lesson Title Here Course 2 DV Problems QUESTION How are direct variation problems solved using the equation?

4 Course 2 DV Problems To solve problems: 1.If there is more than one set of data, make a t-table with the given information. 2.Using the equation y = kx or the ratio k = y/x, substitute the known values. 3. Solve for k.

5 Course 2 DV Problems 4.Substitute the k value into direct variation equation. 5.Solve for the value of y.

6 Find an equation of direct variation. y is -12.5 when x is 4 Course 2 DV Problems Example:

7 Insert Lesson Title Here Course 2 DV Problems x varies directly with y. If y = 8 when x = 12, what is the value of y when x = 15? xy 128 15?

8 Insert Lesson Title Here Course 2 DV Problems QUESTION How are direct variation problems solved using proportion?

9 Course 2 DV Problems 1. Substitute given values into the proportion 2. Solve for the value of y using cross product.

10 x varies directly with y. If y = -12.5 when x = -2.5, what is the value of y when x = -8? Course 2 DV Problems Example:

11 Insert Lesson Title Here Course 2 DV Problems 1. Find an equation of the direct variation when y is -64, x is 4. 2.Find an equation of the direct variation when y is 6.3, x is 0.7 3.Find an equation of the direct variation when y is ½, x is ¼. Practice Problems y = -16x y = 9x y = 2x

12 Insert Lesson Title Here Course 2 DV Problems 1. x varies directly with y. If x = 5 when y = 4.45, what is the value of y when x = 7.12? 2. x varies directly with y. If x = -2 when y = -3/2, what is the value of y when x = -4? 3. x varies directly with y. If x = 5 when y = 4.5, what is the value of y when x = 1.5? Practice Problems y = 6.3368 y = -3 y = 1.35

13 Is this a direct variation? Course 2 Identifying DV xy -2-4 -2 00 12 24 xy 00 16 212 318 424 xy 36 510 714 48 612

14 Is this a direct variation? Course 2 Identifying DV


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