The populations P (in thousands) of Horry County, South Carolina, from 1971 through 2018 can be modeled by P- 75.9e0.0316t where t represents the year, with t1 corresponding to 1971.t (a) Use the model to find the population in 1980, 1990, 2000, and 2010. (Round your answers to the nearest whole number.) 1980 1990 2000 2010 (b) According to the model, when will the population of Horry County reach 370,0007 (Round your answer down to the nearest year.) (c) Do you think the model is valid for long-term predictions of the population? Explain. O Yes, as t increases, the population increases rapidly. O Yes, as t increases, the population remains constant.
The populations P (in thousands) of Horry County, South Carolina, from 1971 through 2018 can be modeled by P- 75.9e0.0316t where t represents the year, with t1 corresponding to 1971.t (a) Use the model to find the population in 1980, 1990, 2000, and 2010. (Round your answers to the nearest whole number.) 1980 1990 2000 2010 (b) According to the model, when will the population of Horry County reach 370,0007 (Round your answer down to the nearest year.) (c) Do you think the model is valid for long-term predictions of the population? Explain. O Yes, as t increases, the population increases rapidly. O Yes, as t increases, the population remains constant.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 52E
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A) Use the model to find the population in 1980,1990,2000 and 2010. (Round your answers to the neatest whole number.)
B) According to the model, when will the population of Horry County reach 37,000? (Round your answer to the nearest year.)
C) Do you think the model is valid for long-term predictions of the population? Explain.
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