QuestionAugust 27, 2025

14. The population of Dorchester in 2012 was 294 ,680. This reflected a 6% increase from the year 1999. What was the population in 1999? a. 471488 b. 276 ,999 c. 312360 d. 278 , 000

14. The population of Dorchester in 2012 was 294 ,680. This reflected a 6% increase from the year 1999. What was the population in 1999? a. 471488 b. 276 ,999 c. 312360 d. 278 , 000
14. The population of Dorchester in 2012 was 294 ,680. This reflected a
6%  increase from the year
1999. What was the population in 1999?
a. 471488
b. 276 ,999
c. 312360
d. 278 , 000

Solution
3.5(213 votes)

Answer

d. 278,000 Explanation 1. Identify the formula for population growth The population increase is given as 6\%, indicating the formula: Population_{2012} = Population_{1999} \times (1 + \frac{6}{100}). 2. Rearrange the formula to solve for 1999 population Using the formula Population_{1999} = \frac{Population_{2012}}{1.06}. 3. Calculate the population in 1999 Substitute the known values: Population_{1999} = \frac{294680}{1.06}. Calculate: Population_{1999} = 278000.

Explanation

1. Identify the formula for population growth<br /> The population increase is given as $6\%$, indicating the formula: $Population_{2012} = Population_{1999} \times (1 + \frac{6}{100})$.<br /><br />2. Rearrange the formula to solve for 1999 population<br /> Using the formula $Population_{1999} = \frac{Population_{2012}}{1.06}$.<br /><br />3. Calculate the population in 1999<br /> Substitute the known values: $Population_{1999} = \frac{294680}{1.06}$.<br /><br /> Calculate: $Population_{1999} = 278000$.<br /><br />
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