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The rate of change, or slope, can be calculated using the formula:
slope = (y2 - y1) / (x2 - x1)
In this case, the points are (3,8.25) and (6,16.50). So:
slope = (16.50 - 8.25) / (6 - 3)
slope = 8.25 / 3
slope = 2.75
Therefore, the rate of change in the purchase price is $2.75 per pound.