Keisuke82viz
Answered

37 to 38. (2 pts) If y varies directly as x and y = 4 when x = 2 , find the constant of variation and the value of y when x = 6​

Sagot :

MissJindySummerviz

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

If y varies directly as x and y = 4 when x = 2 , find the constant of variation and the value of y when x = 6​

[tex]\\[/tex]

Translation: (Direct variation)

y  varies directly as x

  • y = kx

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  • y = 4, x = 2
  • 4 = 2k
  • 4/2 = k
  • 2 = k

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  • y = ?, x = 6
  • y = 2x
  • y = 2 · 6
  • y = 12

[tex]\\[/tex]

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

  • Constant of variation: 2
  • Value of y: 12

[tex]\large\tt\color{yellow}{Constant of variation:}[/tex] [tex] \large\tt\color{lime}\underline{2}[/tex]

[tex]\large\tt\color{yellow}{Value:}[/tex] [tex] \large\tt\color{lime}\underline{12}[/tex]