A Population Model The resident population of the United States in 2018 was 327 million people and was growing at a rate of 0.7% per year. Assuming that this growth rate continues, the model P(t) = 327(1.007)–2018 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 415 million people? (b) According to this model, when will the population of the United States be 470 million people? Source: U.S. Census Bureau

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 2018 was 327 million people and was growing at
a rate of 0.7% per year. Assuming that this growth rate
continues, the model P(t) = 327(1.007)–2018 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 415 million people?
(b) According to this model, when will the population of the
United States be 470 million people?
Source: U.S. Census Bureau
Transcribed Image Text:A Population Model The resident population of the United States in 2018 was 327 million people and was growing at a rate of 0.7% per year. Assuming that this growth rate continues, the model P(t) = 327(1.007)–2018 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 415 million people? (b) According to this model, when will the population of the United States be 470 million people? Source: U.S. Census Bureau
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