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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


Sagot :

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].