4 points LarPCakT 3.5.030 My Notes Ask Your Teacher The populations ? (in thousa

Question

4 points LarPCakT 3.5.030 My Notes Ask Your Teacher The populations ? (in thousands) or a city from 2000 to 2003 can be modeled by P-2450e-o0023t where t represents the year, with r-o conesponding to 2000 (a Acconding to the model, was the population increasing or decreasing from 2000 to 20037 O Increasing (b) hat were the populations of the city in 2000 and 2001? (Round your results to three dedimal places each. 2000 P 2001 p thousend peuple thousand peopla According to the medel, when will the population be axely 2.4 million? (Enter the calender yoar)

Explanation / Answer

P = 2450 e^-0.0023 t

a) according to the model the popolation is decreasing from 2000 to 2003 since the exponent is negative

b) 2450 e^-0.0023 (0)

P = 2450

in 2001

2450 e^-0.0023 (1)

P = 2444.371

c) 2400 = 2450 e^-0.0023 (t)

2400/2450 = e^-0.0023 (t)

t = 8.9

hence, in the year 2009 the population will be 2.4 million

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