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if y varies directly proportional as x and y is equal to 8 when x is 2, find when x is 10

Sagot :

✒ DIRECT VARIATION

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[tex]\large\sf\underline{Problem:}[/tex]

  • if y varies directly proportional as x and y is equal to 8 when x is 2, find when x is 10

[tex] \large{••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\large\sf\underline{Answer:}[/tex]

[tex] \huge\tt\purple{\:\:\:\:\:\:\:y = 40}[/tex]

[tex] \large{••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\large\sf\underline{Solution:}[/tex]

  • [tex] \large\tt{ y = kx}[/tex]

  • [tex] \large\tt{ \frac{8}{2}=\frac{2k}{2}}[/tex]

  • [tex] \large\tt{ k = 4}[/tex]

_____

  • [tex] \large\tt{ y = 4x}[/tex]

  • [tex] \large\tt{ y = 4(10) }[/tex]

  • [tex] \large\tt\purple{ y = 40}[/tex]

[tex] \because[/tex] The value of y is 40 when x is 10.

[tex] \large{••••••••••••••••••••••••••••••••••••••}[/tex]

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