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 t = 1 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 370,000? (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. O Yes, as t increases, the population decreases rapidly. O No, as t increases, the population increases rapidly. O No, as t increases, the population decreases rapidly.

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 64E
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The populations ( thousands) of Horry County, South Carolina, from 1971 through 2018 can be modeled by P = 75.9e ^ (0.0316t) where t represents the year, with t = 1 corresponding to 1971.¹ (a) Use the model to find the population in 1980, 1990, 2000, and 2010. (Round your answers to the nearest whole number)
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 t = 1 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 370,000? (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.
O Yes, as t increases, the population decreases rapidly.
O No, as t increases, the population increases rapidly.
O No, as t increases, the population decreases rapidly.
Transcribed Image Text: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 t = 1 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 370,000? (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. O Yes, as t increases, the population decreases rapidly. O No, as t increases, the population increases rapidly. O No, as t increases, the population decreases rapidly.
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