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The population P (in thousands) of a certain city from 2000 through 2014 can be modeled...

The population P (in thousands) of a certain city from 2000 through 2014 can be modeled by P = 160.3e ^kt, where t represents the year, with t = 0 corresponding to 2000. In 2007, the population of the city was about 164,075.

(a) Find the value of k. (Round your answer to four decimal places.)

K=___________

Is the population increasing or decreasing? Explain.

(b) Use the model to predict the populations of the city (in thousands) in 2020 and 2025. (Round your answers to three decimal places.)

2020     P = thousand people
2025     P =   thousand people

(c) According to the model, during what year will the population reach 210,000?

Math   Precalculus   
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