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Identify direct and inverse variation

Because xy = 4 can be written in the form y = , xy = 4 represents inverse variation. The constant of variation is 4. a. x. y =. 4. x. EXAMPLE 1. Identify direct and inverse variation. Tell whether the equation represents direct variation , inverse variation , or neither.

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Identify direct and inverse variation

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  1. Because xy = 4 can be written in the form y =, xy = 4 represents inverse variation. The constant of variation is 4. a x y = 4 x EXAMPLE 1 Identify direct and inverse variation Tell whether the equation represents direct variation, inverse variation, or neither. a. xy = 4 SOLUTION xy = 4 Write original equation. Divide each side by x.

  2. = x b. = x y y y 2 y 2 2 Because= xcan be written in the formy = ax, = x represents direct variation. 2 EXAMPLE 1 Identify direct and inverse variation Tell whether the equation represents direct variation, inverse variation, or neither. SOLUTION Write original equation. y = 2x Multiply each side by 2.

  3. Because y = 2x + 3cannot be written in the formy = or y =ax, y = 2x + 3 does not represent either direct variation or inverse variation. a x EXAMPLE 1 Identify direct and inverse variation Tell whether the equation represents direct variation, inverse variation, or neither. c.y = 2x + 3 SOLUTION

  4. 2x ANSWER inverse variation for Example 1 GUIDED PRACTICE Tell whether the equation represents direct variation, inverse variation, or neither. 1.y =

  5. ANSWER direct variation for Example 1 GUIDED PRACTICE 2. 4y = 3x

  6. ANSWER neither for Example 1 GUIDED PRACTICE 3. 5x – y = 3

  7. 12 ANSWER inverse variation for Example 1 GUIDED PRACTICE 4. xy =

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