Question

Tacoma’s population in 2000 was about 200 thousand, and has been growing about 9% each year. If this continues, what will Tacoma’s population be in 2012

Answer 1

To find Tacoma's population in 2012, we need to calculate the growth in population from 2000 to 2012.

First, let's find the population growth rate each year:
9% growth per year.

Next, let's calculate the population in each year from 2001 to 2012:
Year 2000: 200,000

Year 2001: 200,000 + 9% = 200,000 + (0.09 x 200,000) = 200,000 + 18,000 = 218,000

Year 2002: 218,000 + 9% = 218,000 + (0.09 x 218,000) = 218,000 + 19,620 = 237,620

Year 2003: 237,620 + 9% = 237,620 + (0.09 x 237,620) = 237,620 + 21,386.8 = 259,006.8

Year 2004: 259,006.8 + 9% = 259,006.8 + (0.09 x 259,006.8) = 259,006.8 + 23,310.6 = 282,317.4

Year 2005: 282,317.4 + 9% = 282,317.4 + (0.09 x 282,317.4) = 282,317.4 + 25,506.56 = 307,823.96

Year 2006: 307,823.96 + 9% = 307,823.96 + (0.09 x 307,823.96) = 307,823.96 + 27,805.16 = 335,629.12

Year 2007: 335,629.12 + 9% = 335,629.12 + (0.09 x 335,629.12) = 335,629.12 + 30,291.61 = 365,920.73

Year 2008: 365,920.73 + 9% = 365,920.73 + (0.09 x 365,920.73) = 365,920.73 + 32,939.87 = 398,860.60

Year 2009: 398,860.60 + 9% = 398,860.60 + (0.09 x 398,860.60) = 398,860.60 + 35,898.45 = 434,759.05

Year 2010: 434,759.05 + 9% = 434,759.05 + (0.09 x 434,759.05) = 434,759.05 + 39,126.31 = 473,885.36

Year 2011: 473,885.36 + 9% = 473,885.36 + (0.09 x 473,885.36) = 473,885.36 + 42,851.68 = 516,737.04

Year 2012: 516,737.04 + 9% = 516,737.04 + (0.09 x 516,737.04) = 516,737.04 + 46,506.33 = 563,243.37

Therefore, Tacoma's population in 2012 is estimated to be approximately 563,243.