What is the constant of proportionality for the relationship shown in the table A.1/2B.2C.4D.8

Answer:Option A[tex]1/2[/tex]Step-by-step explanation:we know thatA relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the originsoFor [tex]x=2, y=1[/tex][tex]k=y/x=1/2[/tex]For [tex]x=4, y=2[/tex][tex]k=2/4=1/2[/tex]For [tex]x=6, y=3[/tex][tex]k=3/6=1/2[/tex]For [tex]x=8, y=4[/tex][tex]k=4/8=1/2[/tex]