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To find the rate of change in the purchase price in dollars per pound, we need to calculate the slope of the line passing through the two given points.
Slope (m) = (y2 - y1) / (x2 - x1)
Where (x1, y1) = (3, 8.25) and (x2, y2) = (6, 16.50)
Slope (m) = (16.50 - 8.25) / (6 - 3)
Slope (m) = 8.25 / 3
Slope (m) = 2.75
Therefore, the rate of change in the purchase price of broccoli is $2.75 per pound.