Question

do x and y have a proportional relationship? yes no what is the constant of proportionality? write your answer as a whole number or decimal. miles per minute

Explanation:

Step1: Recall proportional relationship

A proportional relationship has a graph that passes through the origin and has a constant ratio \( \frac{y}{x} \). Here, the line passes through (0,0), so check the ratio.

Step2: Calculate the ratio \( \frac{y}{x} \)

Take a point, e.g., (10, 5). Then \( \frac{y}{x}=\frac{5}{10} = 0.5 \). Check another point, like (20, 10): \( \frac{10}{20}=0.5 \), (30,15): \( \frac{15}{30}=0.5 \). The ratio is constant.

Answer:

0.5