Step-by-step explanation:
The given table:
X Y
3 − 2
6 − 4
9 − 6
12 − 8
To find, the constant ratio, [tex]\dfrac{y}{x}[/tex] = ?
The constant ratio, [tex]\dfrac{y}{x}[/tex] = [tex]\dfrac{-2}{3}[/tex],
The constant ratio, [tex]\dfrac{y}{x}[/tex] = [tex]\dfrac{-4}{6}[/tex] = [tex]\dfrac{-2}{3}[/tex],
The constant ratio, [tex]\dfrac{y}{x}[/tex] = [tex]\dfrac{-6}{9}[/tex] = [tex]\dfrac{-2}{3}[/tex] and
The constant ratio, [tex]\dfrac{y}{x}[/tex] = [tex]\dfrac{-6}{9}[/tex] = [tex]\dfrac{-2}{3}[/tex]
Thus, the required option A) yes; [tex]\dfrac{-2}{3}[/tex] is correct.