The population P (in thousands) of Tallahassee, Florida, from 2000 through 2018 can be modeled by P = 152.7ekt, where t represents the year, with t 0 corresponding to 2000. In 2008, the population of Tallahassee was about 171,847.t (a) Estimate the value of k. (Round your answer to four decimal places.) k = Is the population increasing or decreasing? Explain. O Because k is positive, the population is decreasing. O Because k is negative, the population is decreasing. O Because k is positive, the population is increasing. O Because k is negative, the population is increasing. (b) Use the model to predict the populations of Tallahassee (in thousands) in 2025 and 2030. (Round your answers to three decimal places.) 2025 P = thousand people 2030 P = thousand people Are the results reasonable? Explain. O The populations are not reasonable. The population cannot continue to increase at the same rate it did from the year 2025 to 2030. O The populations are reasonable if it continueş to increase at the same rate from the year 2025 to 2030.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Author:HOUGHTON MIFFLIN HARCOURT
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Chapter8: Graphing Quadratic Functions
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The population P (in thousands) of Tallahassee, Florida, from 2000 trough 2018 can be modeled by P= 152.7e^kt, where t represents the year, with t=0 corresponding to 2000. In 2008, the population of Tallahassee was about 171,847.
The population P (in thousands) of Tallahassee, Florida, from 2000 through 2018 can be modeled by P = 152.7ekt, where t
represents the year, with t = 0 corresponding to 2000. In 2008, the population of Tallahassee was about 171,847.†
(a) Estimate the value of k. (Round your answer to four decimal places.)
k =
Is the population increasing or decreasing? Explain.
O Because k is positive, the population is decreasing.
O Because k is negative, the population is decreasing.
O Because k is positive, the population is increasing.
O Because k is negative, the population is increasing.
(b) Use the model to predict the populations of Tallahassee (in thousands) in 2025 and 2030. (Round your answers to three
decimal places.)
2025
P =
thousand people
2030
P =
thousand people
Are the results reasonable? Explain.
O The populations are not reasonable. The population cannot continue to increase at the same rate it did from the year
2025 to 2030.
O The populations are reasonable if it continueş to increase at the same rate from the year 2025 to 2030.
Transcribed Image Text:The population P (in thousands) of Tallahassee, Florida, from 2000 through 2018 can be modeled by P = 152.7ekt, where t represents the year, with t = 0 corresponding to 2000. In 2008, the population of Tallahassee was about 171,847.† (a) Estimate the value of k. (Round your answer to four decimal places.) k = Is the population increasing or decreasing? Explain. O Because k is positive, the population is decreasing. O Because k is negative, the population is decreasing. O Because k is positive, the population is increasing. O Because k is negative, the population is increasing. (b) Use the model to predict the populations of Tallahassee (in thousands) in 2025 and 2030. (Round your answers to three decimal places.) 2025 P = thousand people 2030 P = thousand people Are the results reasonable? Explain. O The populations are not reasonable. The population cannot continue to increase at the same rate it did from the year 2025 to 2030. O The populations are reasonable if it continueş to increase at the same rate from the year 2025 to 2030.
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