The population A (in thousands) of Atlantic City in 2014 was 39,521. In 2018, the population was 38,372. Create a model of the population in Atlantic City where 2014 corresponds to t = 0. %3D (a) Find the value of k in your model. Is the population increasing or decreasing? Explain. (b) Use the model to predict the populations of Atlantic City in 2020 and 2030. Are the results reasonable? Explain. (c) According to the model, during what year will the population reach half of what it was in 2014?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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4. The population A (in thousands) of Atlantic City in 2014 was 39,521. In 2018, the population was
38,372. Create a model of the population in Atlantic City where 2014 corresponds to t = 0.
(a) Find the value of k in your model. Is the population increasing or decreasing? Explain.
(b) Use the model to predict the populations of Atlantic City in 2020 and 2030. Are the results
reasonable? Explain.
(c) According to the model, during what year will the population reach half of what it was in 2014?
Transcribed Image Text:4. The population A (in thousands) of Atlantic City in 2014 was 39,521. In 2018, the population was 38,372. Create a model of the population in Atlantic City where 2014 corresponds to t = 0. (a) Find the value of k in your model. Is the population increasing or decreasing? Explain. (b) Use the model to predict the populations of Atlantic City in 2020 and 2030. Are the results reasonable? Explain. (c) According to the model, during what year will the population reach half of what it was in 2014?
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