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.† (a) Use the model to find the population in 1980, 1990, 2000, and 2010. (Round your answers to the nearest whole number.) 19801990 2000 2010 (b) According to the model, when will the population of Horry County reach 390,000? (Round your answer down to the nearest year.)
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.† (a) Use the model to find the population in 1980, 1990, 2000, and 2010. (Round your answers to the nearest whole number.) 19801990 2000 2010 (b) According to the model, when will the population of Horry County reach 390,000? (Round your answer down to the nearest year.)
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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Question
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.†(a)
Use the model to find the population in 1980, 1990, 2000, and 2010. (Round your answers to the nearest whole number.)
19801990 2000 2010
(b)
According to the model, when will the population of Horry County reach 390,000? (Round your answer down to the nearest year.)
(c)
Do you think the model is valid for long-term predictions of the population? Explain.
Yes, as t increases, the population decreases rapidly.Yes, as t increases, the population increases rapidly. Yes, as t increases, the population remains constant.No, as t increases, the population increases rapidly.No, as t increases, the population decreases rapidly.
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