Question

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

Answer 1

ANSWER

$y = x + 8$

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

$m = \frac{3}{3} = 1$

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

$y = x + 8$