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if y varies jointly as x and z where y =48 when x=4 and z=2 find the constant variation​

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JOINT VARIATION

Problem:

» If y varies jointly as x and z where y =48 when x=4 and z=2, find the constant variation

Answer:

  • The constant of variation (k) is 6.

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Given:

  • y = 48
  • x = 4
  • z = 2

Solution:

- Use the information given to find the constant of variation (k).

  • [tex] \: \: \: \: \: \: \: \: \sf \: y = kxz \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: 48 = k \: (4)(2) \\ \: \: \: \: \: \: \: \: \sf \: 48 = k \: (8) \\ \sf \: \frac{48}{8} = k \\ \: \underline{ \boxed{ \purple{ \sf \: 6}}} = \sf k[/tex]

Thus, the constant of variation (k) is 6.

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