Population in 2010, P(o) = 1,405,233
Rate of decrease, R = 1.1% = 0.011
Applicable formula
P(n) = P(o) *(1-R)^n
Where P(n) = population after n years, n = Number of years
From information given,
1,200,000 = 1,405,233 (1-0.011)^6
1,200,000/1,405,233 = (0.989)^n
0.85395 = (0.989)^n
ln (0.85395) = n ln (0.898)
n = [ln (0.85395)]/[ln (0.989)] = 14.27 years ≈ 14 years
Year in which population will fall below 1,200,000 = 2010+14 = 2024
Then, the correct answer is a.
