Population growth the population p (in thousands) of oriando, florida from 1980 through 2009 can be modeled by p = 130e0.0205t, where t = 0 corresponds to 1980.
(a) what was the population of orlando in 2009?
(b) in what year will orlando have a population of 300,000?

a) 236,000.

b) 2021

Step-by-step explanation:

Given : Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by    (1)

where t = 0 corresponds to 1980.

Then , for 2009

t= 2009-1980=29

a. ⇒The population of Phoenix in 2009 =  

Hence, the population of Orlando in 2009 was about 236,000.

b) Substitute p= 300 in (1) , we get

(Divide both sides by 130)

Taking Natural log on both sides,

Hence, The year Orlando will have a population of 300,000 =1980+41 =2021

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b

step-by-step explanation: