Question

What is the function equation for the input/output table? x y 2 10 5 13 8 16 11 19

Answer 1

The answer would be y = x + 8!

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Answer 2

`y = x + 8`

Step-by-step explanation

We can see that, the difference in y-values from the table is 3

Also the difference in the x-values is 3.

Hence the slope is

`m = (3)/(3) = 1`

Let y=mx +c be function equation.

We put m=1 to get,

`y = x + c`

From the table when x=2, y=10.

This implies that,

`10 = 2 + c`

`c = 10 - 2 = 8`

Hence the function equation is

`y = x + 8`