Question

1. reasoning if the ratio $\frac{y}{x}$ is the same for all related pairs of $x$ and $y$, what does that mean about the relationship between $x$ and $y$?

Explanation:

When the ratio $\frac{y}{x}$ is constant for all related pairs of $x$ and $y$, it means that $y$ is directly proportional to $x$. In a direct - proportion relationship, the equation can be written as $y = kx$, where $k=\frac{y}{x}$ (the constant of proportionality).

Answer:

$y$ is directly proportional to $x$.