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 proportional - relationship formula is $y = kx$, where $k$ is the constant of proportionality. We know that $y = 36$ (yards) and $x = 108$ (feet).

Step2: Solve for $k$

We can rewrite the formula as $k=\frac{y}{x}$. Substitute $y = 36$ and $x = 108$ into the formula: $k=\frac{36}{108}$.

Step3: Simplify the fraction

$\frac{36}{108}=\frac{36\div36}{108\div36}=\frac{1}{3}$.

Answer:

$\frac{1}{3}$