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The variable z varies jointly as the variables x and y. Write an equation that models each joint
equation. Then find z when x = -2 and y = 6.
Given: x = -5, y = 12., z = 20
The number​

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Answer:

z = 4

Step-by-step explanation:

  • Definition of Joint Variation

z = kxy

where k is the Constant of Proportion

  • Given:

x = -5

y = 12

z = 20

Find k

z = kxy

(20) = k(-5)(12)

20 = -60k

20/-60 = -60k/-60

-1/3 = k

  • Then use k to find z:

z = kxy

z = (-1/3)(-2)(6)

z = (-1/3)(-12)

z = 12/3

z = 4

Therefore, z = 4

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