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9.1 Inverse Variation

9.1 Inverse Variation. k = xy or. Ex 1. Suppose that x and y vary inversely. If x = 7 and y = 4, write a function. Ex 2. Direct, inverse, or neither?. Ex 3. Direct, inverse, or neither?. Ex 4. Direct, inverse or neither?. Combined variation.

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9.1 Inverse Variation

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  1. 9.1 Inverse Variation

  2. k = xy or

  3. Ex 1 Suppose that x and y vary inversely. If x = 7 and y = 4, write a function.

  4. Ex 2 • Direct, inverse, or neither?

  5. Ex 3 • Direct, inverse, or neither?

  6. Ex 4 • Direct, inverse or neither?

  7. Combined variation • y varies directly with the square of x: y = kx2 • y varies inversely with the cube of x: y = k/x3 • z varies jointly with x and y and inversely with w: z = kxy/w • z varies directly with x and inversely with the product of w and y: z = kx/wy

  8. Ex 5 Mass m of a moving object is related to its kinetic energy k and its velocity v by m = 2k/v2. Describe the relationship using combined variation.

  9. Ex 6 Describe using combined variation:

  10. Ex 7 The area of an equilateral triangle varies directly with the square of the radius r of its circumscribed circle. The area of an equilateral triangle for which r =2 is

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