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 relationship between yards and feet is $y = kx$, where $k$ is the constant of proportionality. We know $y = 36$ and $x=108$.

Step2: Solve for $k$

Substitute values into formula: $k=\frac{y}{x}$. So $k = \frac{36}{108}$.

Step3: Simplify the fraction

$\frac{36}{108}=\frac{1}{3}$.

Answer:

$\frac{1}{3}$