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if Y varies directly as X nd Y=12 when X=4, find Y when X=12

Sagot :

Quinzengo

DIRECT VARIATION

EQUATION:

[tex]y = kx[/tex]

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First, find the constant of variation using the formula [tex]k = \frac{y}{x}[/tex] , since y varies directly as x.

[tex]12 = 4k[/tex]

[tex]k = \frac{12}{4}[/tex]

[tex]k = 3[/tex]

Therefore the constant of variation is 3.

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Then, find y when x is equal to twelve, using the equation of variation [tex]y = 3x[/tex] .

[tex]y = 3x[/tex]

[tex]y = (3)(12)[/tex]

[tex]y = 36[/tex]

Final Answer:

[tex]y = 36[/tex]

Learn more about direct variation:

The statements:

  1. “y varies directly as x”
  2. “y is directly proportional to x”
  3. “y is proportional to x”

may be translated mathematically as [tex]y=kx[/tex] where k is the constant of variation.

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