The populations P (in thousands) of Pittsburgh, Pennsylvania from 2000 through 2007 can be modeled by where t represents the year, with corresponding to 2000.Use the model to find the numbers of cell sites in the year 2009.

A)2,326,853.00
B)2,327,853.00
C)2,329,853.00
D)2,328,853.00
E)2,330,853.00

Question

The populations P (in thousands) of Pittsburgh, Pennsylvania from 2000 through 2007 can be modeled by  where t represents the year, with  corresponding to 2000.Use the model to find the numbers of cell sites in the year 2009.
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A)2,326,853.00 
B)2,327,853.00 
C)2,329,853.00 
D)2,328,853.00 
E)2,330,853.00

Quizplus · Accepted Answer

The given model is:

P = 11e^(0.011t)

We need to find the population for the year 2009.

To do this, we substitute t = 9 (since 2000 corresponds to t = 0) into the model:

P = 11e^(0.011(9))

P ≈ 2,328,853

Therefore, the number of cell sites in the year 2009 is approximately 2,328,853.

The correct answer is D).

The Populations P (In Thousands) of Pittsburgh, Pennsylvania from 2000