Step 1 :Given two points (1994, 27.7) and (2004, 22.7) which represent the number of food stamp recipients (in millions) in the years 1994 and 2004 respectively.
Step 2 :The average rate of change is calculated by taking the difference in the y-values (number of food stamp recipients) and dividing by the difference in the x-values (years). This is essentially the slope of the line connecting the two points.
Step 3 :Subtract the y-values: 22.7 - 27.7 = -5
Step 4 :Subtract the x-values: 2004 - 1994 = 10
Step 5 :Divide the difference in y-values by the difference in x-values: -5 / 10 = -0.5
Step 6 :\(\boxed{-0.5}\) is the average rate of change in food stamp recipients per year during this period.