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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. 
ln 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 1212,000000 . 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) 1440 \mathbf{1 4 4 0} \newline(D) 1482 \mathbf{1 4 8 2}

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 1212,000000 . 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) 1440 \mathbf{1 4 4 0} \newline(D) 1482 \mathbf{1 4 8 2}
  1. Calculate population increase 20112011: Calculate the population increase for the year 20112011.\newlineThe population in 20102010 was 12,00012,000 and it increased by 5%5\% in 20112011.\newlineTo find the increase, calculate 5%5\% of 12,00012,000.\newlineIncrease =5100×12,000= \frac{5}{100} \times 12,000\newlineIncrease =0.05×12,000= 0.05 \times 12,000\newlineIncrease =600= 600
  2. Calculate population 20112011: Calculate the population for the year 20112011.\newlineAdd the increase from Step 11 to the population of 20102010.\newlinePopulation in 20112011 = Population in 20102010 + Increase\newlinePopulation in 20112011 = 12,000+60012,000 + 600\newlinePopulation in 20112011 = 12,60012,600
  3. Calculate population increase 20122012: Calculate the population increase for the year 20122012.\newlineThe population in 20112011 was 12,60012,600 and it increased by 7%7\% in 20122012.\newlineTo find the increase, calculate 7%7\% of 12,60012,600.\newlineIncrease =7100×12,600= \frac{7}{100} \times 12,600\newlineIncrease =0.07×12,600= 0.07 \times 12,600\newlineIncrease =882= 882
  4. Calculate total population increase: Calculate the total population increase over the 22-year period.\newlineAdd the increases from Step 11 and Step 33.\newlineTotal increase = Increase in 20112011 + Increase in 20122012\newlineTotal increase = 600+882600 + 882\newlineTotal increase = 14821482

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