Answer:
263,500
Step-by-step explanation:
Population in 2012 = 252,960
Population in 2002 = ? = x
% decrease in population from 2002 to 2012 = 4%
% decrease = (2002 population - 2012 population)/2002 population × 100
Plug in the value into the equation:
[tex] 4 = \frac{x - 252,960}{x} * 100 [/tex]
[tex] 4 = \frac{100(x - 252,960)}{x} [/tex]
Multiply both sides by x
[tex] 4*x = \frac{100(x - 252,960)}{x}*x [/tex]
[tex] 4x = 100x - 25,296,000 [/tex]
Subtract 100x from both sides
[tex] 4x - 100x = 100x - 25,296,000 - 100x [/tex]
[tex] -96x = -25,296,000 [/tex]
Divide both sides by -96
[tex] \frac{-96x}{-96} = \frac{-25,296,000}{-96} [/tex]
[tex] x = 263,500 [/tex]
Population of the town in 2002 was 263,500.
