The current student population of Hartford is 1400. If the population decreases at a rate of 6.1% each year. What will the student population be in 6 years?

Answer: the student population will be 960 in 6 years

Step-by-step 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

1400 x 0.061 = 85.4

85.4 x 6 = 512.4

1400 - 512.4 = 887.6