Question

The population of a town is 81,712 and declines continuously at a rate of 4.1% each year. What is the approximate population of the town in 17 years?
A. 40,699
B. 24,759
C. 164,055
D. 40,105

Answer 1

Data:

P (Final population) = ?
Po (Initial population) = 81712
r (rate) = 4,1% = 0,041
t (time in years) = 17

$P = Po - (Po*r*t)$
$P = 81712 -(81712*0,014*17)$
$P = 81712 - 56953.264$
$P =24758.736$
$\boxed{P \approx 24759}$

Answer:
B) 24759