A Population Model The resident population of the United States in 2014 was 317 million people and was growing at a rate of 0.7% per year. Assuming that this growth rate continues, the model P(t) = 3171(.007)t-2014 represents the population P (in millions of people) in year t. (a) According to this model, when will the population of the United States be 400 million people? (b) According to this model, when will the population of the United States be 435 million people?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 23E
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A Population Model The resident population of the United
States in 2014 was 317 million people and was growing at
a rate of 0.7% per year. Assuming that this growth rate
continues, the model P(t) = 3171(.007)t-2014
represents
the population P (in millions of people) in year t.
(a) According to this model, when will the population of the
United States be 400 million people?
(b) According to this model, when will the population of the
United States be 435 million people?

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