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y is directly proportional to x. When y=124 x=8. Work out the value of y when x=4.​

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Direct Proportion

y is directly proportional to x. When y=124 x=8. Work out the value of y when x=4.​

[tex]\underline{\mathcal{INFO:}}[/tex]

  • Direct proportion can be written as y = kx.

[tex]\boxed{\tt{Solution:}}[/tex]

  • y = 124, x = 8
  • y = kx
  • 124 = k · 8
  • 1/8[124 = k · 8]1/8
  • 124/8 = k

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  • y = ?, x = 4, k = 124/8
  • y = kx
  • y = (4)(124/8)
  • y = 62

[tex]\huge\boxed{\tt{ANSWER:}}[/tex]

  • The value of y is 62.

[tex]\large {\mathbb{PROBLEM}:} [/tex]

y is directly proportional to x. When y=124 x=8. Work out the value of y when x=4.

[tex]\: \: \:[/tex]

[tex]\large {\mathbb{SOLUTION}:} [/tex]

[tex] \bold{GIVEN}[/tex]

  • [tex]\tt \small{y = 124}[/tex]
  • [tex]\tt \small{x = 8,x = 4}[/tex]
  • [tex]\tt \small{y = ?}[/tex]

[tex] \bold{FORMULA}[/tex]

[tex] \tt \small{y = kx}[/tex]

[tex] \bold{COMPUTE}[/tex]

  • [tex] \tt \small{y = 124*8 ÷ 4}[/tex]
  • [tex] \tt \small{y = 15.5 ÷ 4}[/tex]
  • [tex] \tt \blue{y = 62}[/tex]

[tex]\: \: \:[/tex]

[tex]\large {\mathbb{ANSWER}:} [/tex]

Therefore the value of y is 62.