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X - Tables y - Chairs312520288321040As a direct proportion equation

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In order for a relation to be a proportion, you will need that every quotient to be constant. In this case it is necessary that


(12)/(3)=4,\text{ }(20)/(5)=4,\text{ etc}

are the same. Since this is true, then it is a proportion, and the constant of proportionality is 4, that is


y=4x\text{.}

You can check this by subtitution, and his is the equation that gives you the proportion relation.

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