Answer: the student population will be 960 in 6 years
Explanation:
The rate at which the population is decreasing is exponential. We would apply the exponential decay formula 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 decrease.
From the information given,
P = 1400
r = 6.1% = 6.1/100 = 0.061,
t = 6 years
Therefore,
A = 1400(1 - 0.061)^6
A = 1400(0.939)^6
A = 960