Philip P. answered 08/15/15
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You have two points, (1950, 12,500) and (2000, 250,000). The average growth rate is the slope of the line connecting the two points:
slope = (y2-y1)/(x2-x1) = (250,000 - 12,500)/(2000 - 1950) = 237,500/50 = 4750 people per year