The annual percent change in the population of town C will be 16.9
From the formula for the annual increase in population, we have
A = P( 1 + r/100 )n
Where, A = new population
r = rate of increase in the population per annum
n = number of years
Since, from the question, we have
n = 7
A = 3P
Therefore,
3P = [tex]P( 1+ r/100 )^{7}[/tex]
Or, 3 = [tex]P( 1+ r/100 )^{7}[/tex]
31/7 = 1 + r/100
1.169 = 1 + r/100
0.169 = r/100
r = .169 x 100 = 16.9
Therefore, the annual percent change in the population of town c is 16.9
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