Question

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

X: -2 -1 0 1 2
Y: -17 -5 7 19 31



A. y = (x + 12) – 7
B. y = 12x – 7
C. x = 12y + 7
D. y = 12x + 7

Answer 1

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 2

Answer: D.
`y=12x+7`

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`.