X - Tables y - Chairs312520288321040As a direct proportion equation

Question

asked Jan 10, 2023 54.3k views

1 Answer

Goddard · Answer 1 · 2023-01-15T23:47:17+0000

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.