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The population of Springville is on the rise. Each year, on January 1 , the town holds its own census and the population is recorded. In 2010 , the town recorded a population of 12,000 . The 2011 census reported a 
5% increase from the 2010 population, and the 2012 census reported a 
7% increase from the 2011 population. By how many people did the population of Springville increase over the 2 -year period?
Choose 1 answer:
(A) 240
(B) 882
(C) 1440
(D) 1482

The population of Springville is on the rise. Each year, on January 11, the town holds its own census and the population is recorded. In 20102010, the town recorded a population of 12,00012,000. The 20112011 census reported a 5%5\% increase from the 20102010 population, and the 20122012 census reported a 7%7\% increase from the 20112011 population. By how many people did the population of Springville increase over the 22-year period?\newlineChoose 11 answer:\newline(A) 240240\newline(B) 882882\newline(C) 14401440\newline(D) 14821482

Full solution

Q. The population of Springville is on the rise. Each year, on January 11, the town holds its own census and the population is recorded. In 20102010, the town recorded a population of 12,00012,000. The 20112011 census reported a 5%5\% increase from the 20102010 population, and the 20122012 census reported a 7%7\% increase from the 20112011 population. By how many people did the population of Springville increase over the 22-year period?\newlineChoose 11 answer:\newline(A) 240240\newline(B) 882882\newline(C) 14401440\newline(D) 14821482
  1. Population Increase 20112011: Calculate the population increase for the year 20112011.\newlineThe population in 20102010 was 12,00012,000.\newlineThe population increased by 5%5\% in 20112011.\newlineTo find the increase, we calculate 5%5\% of 12,00012,000.\newlineIncrease = 5100×12,000=0.05×12,000=600\frac{5}{100} \times 12,000 = 0.05 \times 12,000 = 600.\newlineSo, the population in 20112011 is 12,000+600=12,60012,000 + 600 = 12,600.
  2. Population Increase 20122012: Calculate the population increase for the year 20122012.\newlineThe population in 20112011 was 12,60012,600.\newlineThe population increased by 7%7\% in 20122012.\newlineTo find the increase, we calculate 7%7\% of 12,60012,600.\newlineIncrease = 7100×12,600=0.07×12,600=882\frac{7}{100} \times 12,600 = 0.07 \times 12,600 = 882.\newlineSo, the population in 20122012 is 12,600+882=13,48212,600 + 882 = 13,482.
  3. Total Population Increase: Calculate the total population increase over the 22-year period.\newlineThe increase in 20112011 was 600600 people.\newlineThe increase in 20122012 was 882882 people.\newlineTotal increase = 600+882=1482600 + 882 = 1482 people.