A
Rate of change is another way to say slope. To find the slope of a line, use this formula:
m = (y2-y1)/(x2-x1) where m is the slope, and (x1, y1) and (x2, y2).
To find the slope of the function in the table, take two coordinates (I’ll use (-1, 5) and (1,9)) and plug them into the slope formula.
m = (9-5)/(1+1) = 4/2 = 2
The slope/rate of change equals 2. The only equation in the answer choices where the slope is 2 is A, so A is the answer