Question

The following information has been collected for the City of Riverside. Calculate the Average Growth Increment...

The following information has been collected for the City of Riverside. Calculate the Average Growth Increment and project the population of the City of Riverside in year 2040 by using 1960 as your base year. Year Population

1960 12,000

1970 15,000

1980 15,000

1990 16,000

2000 16,500

2010 18,000

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Answer #1
Year Population Increase (X) Incremental increase (Y)
1960 12000
1970 15000 3000
1980 15000 0 -3000
1990 16000 1000 1000
2000 16500 500 -500
2010 18000 1500 1000
Total 6000 -1500
Average 1200 -375

Average growth of population with incremental increase

Population Pn = P + n (X ) + (0.5n (n+1)Y)

n = nth Decade

For 2040 , n = 3

Population in 2040 = 18000 + 3*1200 + (0.5*3*4*-375)

Population in 2040 = 19350

Answer: 19350

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