Answer:
The correct option is D.
Step-by-step explanation:
From the given number line it is clear that A=0, B=2, C=8, D=14, F=20 and G=22.
The length of line segment AC is
[tex]AC=C-A=8-0=8[/tex]
The length of line segment CF is
[tex]CF=F-C=20-8=12[/tex]
The ratio of line segment AC to CF is
[tex]\frac{AC}{CF}=\frac{8}{12}[/tex]
Cancel out the common factors.
[tex]\frac{AC}{CF}=\frac{2}{3}[/tex]
The simplified ratio of [tex]\frac{AC}{CF}[/tex] is 2/3.
Therefore the correct option is D.
