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if y varies jointly as x and z, y=54, x= 9,and z = 2, find y when x=4,and z=5​

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[tex]\color{lime}\underline\mathbb{QUESTION:}[/tex]

if y varies jointly as x and z, y=54, x= 9,and z = 2, find y when x=4,and z=5​

[tex]\\[/tex]

Translation: (Joint variation)

y varies jointly as x and z

  • y = kxz

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[tex]\color{green}\underline\mathbb{SOLUTION:}[/tex]

  • y = 54, x = 9, z = 2
  • y = kxz
  • 54 = k · 9 · 2
  • 54 = 18k
  • 54/18 = k
  • 3 = k

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  • y = ?, x = 4, z = 5
  • y = 3xz
  • y = 3 · 4 · 5
  • y = 12 · 5
  • y = 60

[tex]\\[/tex]

[tex]\color{yellow}\underline\mathbb{ANSWER:}[/tex]

  • The value of y is 60.

[tex]\huge\huge\color{orange}{\boxed{\tt{60}}}[/tex]

[tex]\huge\tt\color{yellow}{SOLUTION:}[/tex]

  • [tex] \large\tt\color{lime}\underline{y = 54, x = 9, z = 2}[/tex]
  • [tex] \large\tt\color{lime}\underline{y = kxz}[/tex]
  • [tex] \large\tt\color{lime}\underline{54 = k · 9 · 2}[/tex]
  • [tex] \large\tt\color{lime}\underline{54 = 18k}[/tex]
  • [tex] \large\tt\color{lime}\underline{3 = k}[/tex]
  • [tex] \large\tt\color{lime}\underline{y = ?, x = 4, z = 5}[/tex]
  • [tex] \large\tt\color{lime}\underline{y = 3xz}[/tex]
  • [tex] \large\tt\color{lime}\underline{y = 3 · 4 · 5}[/tex]
  • [tex] \large\tt\color{lime}\underline{y = 12 · 5}[/tex]
  • [tex] \large\tt\color{lime}\underline{y = 60}[/tex]

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