question archive The population of San Antonio, the 6th largest city in the United States, in the 2010 census was 1,327,407 and is estimated to be growing at a rate of 1
The population of San Antonio, the 6th largest city in the United States, in the 2010 census was 1,327,407 and is estimated to be growing at a rate of 1
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The population of San Antonio, the 6th largest city in the United States, in the 2010 census was 1,327,407 and is estimated to be growing at a rate of 1.5% per year (k value = 0.01489). Also, the population of Chicago, IL, the 3th largest city, in the 2010 census was 2,695,598 and is estimated to be decreasing (yes, that's right!) at a rate of 0.07% per year (k value = -0.00715).
Find when the population of San Antonio will reach the population of Chicago
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We need 1327407 * e0.01489t = 2695598 * e-0.00715t, giving e(0.01489+0.00715)t = 2695598 /1327407 = 2.0307. Thus 0.02204t = ln(2.0307), so t = 32.14, or sometime in the year 2052
