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The rate of change represents the slope of the linear graph.
Using the two points (3,8.25) and (6,16.50), the slope can be calculated using the formula:
Slope = (change in y) / (change in x)
Slope = (16.50 - 8.25) / (6 - 3)
Slope = 8.25 / 3
Slope = $2.75 per pound
Therefore, the rate of change in the purchase price of broccoli is $2.75 per pound.