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To find the rate of change in dollars per pound, we need to calculate the slope of the line that represents the cost of broccoli.
The slope formula is given by:
m = (y2 - y1) / (x2 - x1)
Using the given points (3, 8.25) and (6, 16.50):
m = (16.50 - 8.25) / (6 - 3)
m = 8.25 / 3
m = 2.75
Therefore, the rate of change in the purchase price of broccoli is $2.75 per pound.