Question

How do you know whether two quantities x and y are proportional? options: Every x term is a multiple of the previous term, Every ratio ylx for related pairs of x and y is equivalent , Every difference X-y is the same related pairs of x and y , Every sum of x+y is the same for related pairs of x and y.

Answer 1

Every ratio y/x for related pairs of x and y is equivalent;

`\text{Every ratio }(y)/(x)\text{ for related pairs of x and y is equivalent.}`

Step-by-step explanation:

Given that x and y are proportional;

`\begin{gathered} y\propto x \\ y=kx \\ (y)/(x)=k \end{gathered}`

where k is the constant of proportionality;

If x and y are proportional then the ratio of y/x is constant for all related pairs.

Therefore, Every ratio y/x for related pairs of x and y is equivalent;

`\text{Every ratio }(y)/(x)\text{ for related pairs of x and y is equivalent.}`