What is the function rule that describes the pattern in the table?

X: -2 -1 0 1 2

Y: -17 -5 7 19 31



Ay = (x + 12) – 7
By = 12x – 7
Cx = 12y + 7
Dy = 12x + 7

Verified 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. \(y=12x+7\)


Step-by-step explanation:

From the given table we can see that values y can be express as

\(-17=12(-2)+7\\-5=12(-1)+7\\7=12(0)+7\\19=12(1)+7\\31=12(2)+7\)

Hence, all the values of y follow the pattern \(y=12x+7\)

Therefore, D is the right option. The function rule that describes the pattern in the given table is  \(y=12x+7\).