Answer: it will triple in 69.1 years.
Step-by-step explanation:
The growth rate is exponential. We would apply the formula for exponential growth which is expressed as
A = P(1 + r)^t
Where
A represents the population after t years.
t represents the number of years.
P represents the initial population.
r represents rate of growth.
From the information given,
P = 6000
A = 3 × 6000 = 18000
r = 1.6% = 1.6/100 = 0.016
Therefore
18000 = 6000(1 + 0.016)^t
18000/6000 = (1.016)^t
3 = (1.016)^t
Taking log of both sides to base 10
Log 3 = log1.016^t = tlog1.016
0.477 = 0.0069t
t = 0.477/0.0069
t = 69.1 years
