Question

18 does this graph represent a proportional or nonproportional relationship?
hiking distance
a proportional relationship
b nonproportional relationship

Explanation:

Step1: Check line passes through origin

The graph's line starts at $(0,0)$.

Step2: Verify constant ratio

Calculate $\frac{\text{Distance}}{\text{Time}}$ for points:

• For $(5,6)$: $\frac{6}{5}=1.2$
• For $(10,12)$: $\frac{12}{10}=1.2$
• For $(15,18)$: $\frac{18}{15}=1.2$

The ratio is constant.

Step3: Match proportional criteria

Proportional graphs are straight lines through $(0,0)$ with constant $\frac{y}{x}$.

Answer:

A. Proportional Relationship