Answer :
The answer is D. You can rule out A and B by looking at the x value of 0 because the corresponding y value is 7 so you need to add 7 to a number multiplied by 0. And then you know it's not C because if you plug in the 0 for x it doesn't work.
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].