1.2 Rate and Change: Problem 3 PreviousProblem List Next (1 point Let P, andbe t

Question

1.2 Rate and Change: Problem 3 PreviousProblem List Next (1 point Let P, andbe the populations different years. in hundreds of Town 1 and Town 2 respectively The table below shows data for these two populations for five Year 1985 1988 1992 19962001 P1 49 57 65 73 81 |81 | 72|63|54|45 Find the average rate of change of each population over each of the time intervals below (a) From 1985 to 1992, the average rate of change of the population of Town 1 was 4 the average rate of change of the population of Town 2 was (b) From 1992 to 2001, the average rate of change of the population of Town 1 was the average rate of change of the population of Town 2 was (c) From 1985 to 2001, the average rate of change of the population of Town 1 was the average rate of change of the population of Town 2 was I]I hundred people per year, and hundred people per year hundred people per year, and hundred people per year hundred people per year, and hundred people per year

Explanation / Answer

a) from 1985 to 1992

avearage rate of change of town 1 was ( 65 - 49) / 7 = 16/7 hundred people / year

average rate of change of town 2 was ( 63 - 81 ) / 7 = -18/7 hundred people / year

b) from 1992 to 2001

avearage rate of change of town 1 was ( 81-65)/9 = 16/9 hundred people / year

average rate of change of town 2 was ( 45 - 63 ) / 9 = - 2 hundred people / year

c) from 1985 to 2001

average rate of change of town 1 was ( 81 - 49 ) / 16 = 2 hundred people / year

average rate of change of town 2 was ( 45 - 81 ) / 16 = 9/4 hundred people / year

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