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The point (4, 12) is an ordered pair in a proportional relationship. What equation represents this relationship?

1. y = 3x
2.y = 12x
3.y = 4x
4.y = 48x

The point 4 12 is an ordered pair in a proportional relationship What equation represents this relationship 1 y 3x 2y 12x 3y 4x 4y 48x class=

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Answer:

1

[tex]from \: the \: question \\ y =k x - - - (i)\\ where \: k \: is \: the \: constant \: of \: proportionality \\ for \: the \: point \: given \\ y = 12 \: and \: x = 4 \\ from \: (i) \\ 12 = (k \times 4) \\ k = \frac{12}{4} \\ k = 3 \\ substitute \: for \: k \: in \: (i) \\ y = 3x[/tex]