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The rate of change in the purchase price in dollars per pound can be calculated using the formula for the slope of a line:
slope = (change in y)/(change in x)
Let's calculate the change in y and change in x:
Change in y = 16.50 - 8.25 = 8.25
Change in x = 6 - 3 = 3
Now substitute these values into the formula for slope:
slope = 8.25/3 = 2.75
Therefore, the rate of change in the purchase price in dollars per pound is 2.75.