Answer:
Step-by-step explanation:
The rate at which the population is increasing is exponential. The growth rate, r = 57/53 = 1.08
We would apply the formula for exponential growth which is expressed as
A = Pr^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,
A = 100000000
P = 53000000
Therefore,
100000000 = 53000000 × 1.08^t
100000000/53000000 = 1.08^t
1.886792 = 1.08^t
Taking log of both sides,
Log 1.886792 = t log 1.08
0.27572 = 0.033423t
t = 0.27572/0.033423
t = 8.25
Approximately 8years
Therefore, the population will exceed 100 million in 2008
