Trixiealidayidn
Answered

Sumali sa komunidad ng IDNStudy.com at simulang makuha ang mga sagot. Magtanong ng anumang bagay at makatanggap ng kumpleto at eksaktong sagot mula sa aming komunidad ng mga propesyonal.

If y varies directly as the square of x, and y is 100 when x is 10, find y when x = 12. ​

Sagot :

MissJindySummeridn

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

If y varies directly as the square of x, and y is 100 when x is 10, find y when x = 12.

[tex]\\[/tex]

Translation: (Direct variation)

y varies directly as the square of x

  • y = kx²

-------------------------------

  • y = 100, x = 10
  • y = kx²
  • 100 = 10²k
  • 100 = 100k
  • 100/100 = k
  • 1 = k

----------------------------

  • y = ?, x = 12
  • y = 1x²
  • y = 1 · 12²
  • y = 1 · 144
  • y = 144

[tex]\\[/tex]

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

  • The value of y is 144.

[tex]\huge\huge\color{orange}{\boxed{\tt{y \: = \: 144}}}[/tex]

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

  • [tex] \large\tt\color{lime}\underline{y = kx²}[/tex]
  • [tex] \large\tt\color{lime}\underline{y = 100, x = 10}[/tex]
  • [tex] \large\tt\color{lime}\underline{y = kx²}[/tex]
  • [tex] \large\tt\color{lime}\underline{100 = 10²k}[/tex]
  • [tex] \large\tt\color{lime}\underline{100 = 100k}[/tex]
  • [tex] \large\tt\color{lime}\underline{1 = k}[/tex]
  • [tex] \large\tt\color{lime}\underline{y = ?, x = 12}[/tex]
  • [tex] \large\tt\color{lime}\underline{y = 1x²}[/tex]
  • [tex] \large\tt\color{lime}\underline{y = 1 · 12²}[/tex]
  • [tex] \large\tt\color{lime}\underline{y = 1 · 144}[/tex]
  • [tex] \large\tt\color{lime}\underline{y = 144}[/tex]
Natutuwa kami na ikaw ay bahagi ng aming komunidad. Huwag kalimutang bumalik upang magtanong at magbahagi ng iyong karanasan. Sama-sama tayong magpapaunlad ng kaalaman para sa lahat. Gawin mong pangunahing mapagkukunan ang IDNStudy.com para sa maasahang mga sagot. Nandito kami para sa iyo.