Question

determine the constant of proportionality from ea
1.

x	8	12	16	20	24
y	2	3	4	5	6

k = _

Explanation:

Step1: Recall proportionality formula

For a proportional relationship $y = kx$, $k=\frac{y}{x}$.

Step2: Select a pair of values

Let's take the first pair $x = 8$ and $y = 2$.

Step3: Calculate the constant

$k=\frac{y}{x}=\frac{2}{8}=\frac{1}{4}$.
We can check with other pairs. For $x = 12$ and $y = 3$, $k=\frac{3}{12}=\frac{1}{4}$; for $x = 16$ and $y = 4$, $k=\frac{4}{16}=\frac{1}{4}$ and so on.

Answer:

$\frac{1}{4}$