Answer:
The estimated populations in the years 2013 and 2020 are 320.262 and 343.365 respectively.
Step-by-step explanation:
The resident populations P (in millions) of the united states from 1995 through 2010 can be modeled by the exponential function
[tex]p(t)=254.75(1.01)^t[/tex]
Where t is the time in years,with t = 5 corresponding to 1995.
It means the initial year is 1990, ( 1995 - 5 = 1990).
Using this model we need to estimate the populations in the years 2013 and 2020.
2013 - 1990 = 23
Substitute t=23 in the given function.
[tex]p(23)=254.75(1.01)^{23}\approx 320.262[/tex]
2020 - 1990 = 30
Substitute t=30 in the given function.
[tex]p(30)=254.75(1.01)^{30}\approx 343.365[/tex]
Therefore, the estimated populations in the years 2013 and 2020 are 320.262 and 343.365 respectively.
