Answer:
The constant of proportionality = 2
Step-by-step explanation:
Two quantities P and Q are said to be proportional if for P ∝ Q iff [tex]\frac{P}{Q} = k[/tex]
Here, k = Proportionality Constant
Now, here given
Case 1: x = 2, y = 1
So, [tex]k = \frac{x}{y} = \frac{2}{1} = 2 [/tex]
Case 2: x = 4, y = 2
So, [tex]k = \frac{x}{y} = \frac{4}{2} = 2 [/tex]
Case 3: x = 6, y = 3
So, [tex]k = \frac{x}{y} = \frac{6}{3} = 2 [/tex]
Case 4: x = 8, y = 4
So, [tex]k = \frac{x}{y} = \frac{8}{4} = 2 [/tex]
So, in each case we observe that the value of k = 4
Hence the constant of proportionality = 2