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For the direct variation, find the constant of variation. Then find the value of y when x = 2
Y = 4, x= 0.5

Respuesta :

[tex]x \: \alpha \: y \\ \\ x = ky[/tex]

When x = 2 and y = 4, substitute

[tex]2 = 4k \\ \\ k = \frac{2}{4} = \frac{1}{2} [/tex]

That's the constant of variation

When x = 0.5; using the constant as 1/2:

[tex]x = ky \\ \\ x = \frac{1}{2} y \\ \\ 0.5 = \frac{1}{2} y[/tex]

[tex]y = 2 \times 0.5 \\ \\ y = 1[/tex]
That's the value of y when x = 0.5