Answer:
Second table.
Step-by-step explanation:
A function has an additive rate of change if there is a constant difference between any two consecutive input and output values.
The additive rate of change is determined using the slope formula,
[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]
From the first table we can observe a constant difference of -6 among the y-values and a constant difference of 2 among the x-values.
[tex]m = \frac{ - 9- - 3}{4-2} = - 3[/tex]
For the second table there is a constant difference of 3 among the y-values and a constant difference of 1 among the x-values.
The additive rate of change of this table is
[tex]m = \frac{ - 1 - - 4}{3 - 1} = 3[/tex]
Therefore the second table has an additive rate of change of 3.
