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The rate of change in the purchase price in dollars per pound can be calculated using the slope formula:
slope = (y2 - y1) / (x2 - x1)
Given the points (3, 8.25) and (6, 16.5), we can substitute the corresponding values into the slope formula:
slope = (16.5 - 8.25) / (6 - 3)
= 8.25 / 3
= 2.75
Therefore, the rate of change in the purchase price in dollars per pound is 2.75 dollars per pound.