Question

1. there are 108 feet in 36 yards. what is the constant of proportionality that relates y, the number of yards to x, the number of feet? k = _

Explanation:

Step1: Recall proportion formula

The formula for a proportional relationship is $y = kx$, where $k$ is the constant of proportionality. We need to find $k=\frac{y}{x}$.

Step2: Identify $x$ and $y$ values

Here, $x = 108$ (number of feet) and $y = 36$ (number of yards).

Step3: Calculate $k$

$k=\frac{y}{x}=\frac{36}{108}=\frac{1}{3}$

Answer:

$\frac{1}{3}$