find the equation where y varies directly as x. Y=24 when x=3

Sagot :

Answer:

The final equation is  [tex]\LARGE\text{\boldsymbol{\underline{y=8x}}}[/tex].

Step-by-step explanation:

Solve for the constant of variation (k), then substitute it to the variation to find the final equation.

Mathematical Equation:   [tex]y=kx[/tex]

Given:   [tex]y=24[/tex],   [tex]x=3[/tex]

Find:   [tex]k=?[/tex]

Formula:   [tex]y=kx[/tex]

Solution:

[tex]y=kx\\24=3k\\\frac{24}{3}=\frac{3k}{3}\\8=k[/tex]

Final Equation:

[tex]\boxed{\boldsymbol{y=8x}}[/tex]

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