what is the constant of proportionality for the relationship shown on the table.

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 ConstantNow, here given Case 1: x = 2, y = 1So, [tex]k = \frac{x}{y}  =  \frac{2}{1} = 2 [/tex]Case 2: x = 4, y = 2So, [tex]k = \frac{x}{y}  =  \frac{4}{2} = 2 [/tex]Case 3: x = 6, y = 3So, [tex]k = \frac{x}{y}  =  \frac{6}{3} = 2 [/tex]Case 4: x = 8, y = 4So, [tex]k = \frac{x}{y}  =  \frac{8}{4} = 2 [/tex]So, in each case we observe that the value of k = 4Hence the constant of proportionality = 2