Question

Population The populations P (in thousands) of Albuquerque, New Mexico from 2000 through 2009 can be modeled by p = 450e0.019t, where t is the time in years, with t = 0 corresponding to 2000.

(a) Find the population in 2000, 2005, and 2009.
(b) Use the model to estimate the population in 2020.

Answer 1

(a) 2000(p=1223230) , 2005(p= 485530), 2009 (p=523870)

(b) 2020(p=645640)

Explanation:

p = 450e0.019t

(a) for year 2000, t=0

p=450e0.019*0

p=450e1

p=1223.23

population is in thousands

p= 1223.23*1000

p= 1223230

for year 2005. t=4

p=450e0.019*4

P= 485.53

p= 485530

for year 2009, t=8

p=450e0.019*8

p= 523.87

p=523870

(b) for year 2020, t= 19

p=450e0.019*19

p=645.64

p=645640