Answer: D. [tex]y=12x+7[/tex]
Step-by-step explanation:
From the given table we can see that values y can be express as
[tex]-17=12(-2)+7\\-5=12(-1)+7\\7=12(0)+7\\19=12(1)+7\\31=12(2)+7[/tex]
Hence, all the values of y follow the pattern [tex]y=12x+7[/tex]
Therefore, D is the right option. The function rule that describes the pattern in the given table is [tex]y=12x+7[/tex].