In 2010, the population of a city was 240,000. From 2010 to 2015, the population grew by 5.3%. From 2015 to 2020, it fell by 3.5%. To the nearest whole number, by what percent did the city grow from 2010 to 2020?
Q. In 2010, the population of a city was 240,000. From 2010 to 2015, the population grew by 5.3%. From 2015 to 2020, it fell by 3.5%. To the nearest whole number, by what percent did the city grow from 2010 to 2020?
Calculate Population 2015: Calculate the population in 2015 after a 5.3% increase from 2010.Population in 2010: 240,000Percentage increase from 2010 to 2015: 5.3%Population in 2015 = Population in 2010 + (Population in 2010× Percentage increase)Population in 2015 = 240,000 + (240,000×0.053)Population in 2015 = 240,000 + 12,720Population in 2015 = 240,0000
Calculate Population 2020: Calculate the population in 2020 after a 3.5% decrease from 2015.Population in 2015: 252,720Percentage decrease from 2015 to 2020: 3.5%Population in 2020 = Population in 2015 - (Population in 2015× Percentage decrease)Population in 2020 = 252,720 - (252,720×0.035)Population in 2020 = 252,720 - 8,845.2Population in 2020 = 252,7200
Round Population 2020: Round the population in 2020 to the nearest whole number.Population in 2020 (rounded) = 243,875
Calculate Overall Percentage Change: Calculate the overall percentage change from 2010 to 2020.Population in 2010: 240,000Population in 2020 (rounded): 243,875Change in population =Population in 2020−Population in 2010Change in population =243,875−240,000Change in population =3,875Percentage change =(Change in population/Population in 2010)×100%Percentage change =(3,875/240,000)×100%Percentage change =0.0161458333×100%Percentage change =1.61458333%
Round Percentage Change: Round the percentage change to the nearest whole number.Percentage change (rounded) = 2%
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