Question

which proportional relationship has a greater unit rate? how do you know?

Explanation:

Step1: Identify unit rate meaning

The unit rate of a proportional relationship $y=kx$ is the slope $k$, calculated as $\frac{y}{x}$.

Step2: Compare graph slopes

For proportional graphs, steeper lines mean larger $\frac{y}{x}$ values. The line labeled "AB" is steeper than the line labeled "CD".

Step3: Conclude greater unit rate

A steeper line corresponds to a greater unit rate.

Answer:

The proportional relationship represented by the steeper line (labeled AB) has a greater unit rate. For proportional relationships graphed as lines through the origin, the steepness of the line corresponds to the unit rate (slope of the line), so a steeper line means a larger unit rate.