Table 2.25 shows the population, P, in millions, of Ireland16 at various times between
Chapter 2, Problem 71(choose chapter or problem)
Table 2.25 shows the population, P, in millions, of Ireland16 at various times between 1780 and 1910, with t in years since 1780. (a) When was the population increasing? Decreasing? (b) For each successive time interval, construct a table showing the average rate of change of the population. (c) From the table you constructed in part (b), when is the graph of the population concave up? Concave down? (d) When was the average rate of change of the population the greatest? The least? How is this related to part (c)? What does this mean in human terms? (e) Graph the data in Table 2.25 and join the points by a curve to show the trend in the data. From this graph identify where the curve is increasing, decreasing, concave up and concave down. Compare your answers to those you got in parts (a) and (c). Identify the region you found in part (d). (f) Something catastrophic happened in Ireland between 1780 and 1910. When? What happened in Ireland at that time to cause this catastrophe?
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