2. there are 108 feet in 36 yards. what is the constant of proportionality that relates y, the number of…

2. 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 = _

2. 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 = _

Answer

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:

$\frac{1}{3}$