The population of the United States P(t) (in millions) since January 1, 1900, can be approximated by 725 P(f) = -0.0165t 1 + 8.295e where t is the number of years since January 1, 1900. (See Example 6) U.S. Population by Year 800 700 600 y = P(t) 500 400 300 200 100 0. 50 100 150 200 250 300 Year (t = 0 represents 1900) a. Evaluate P(0) and interpret its meaning in the context of this problem. b. Use the function to approximate the U.S. population on January 1, 2020. Round to the nearest million. c. Use the function to approximate the U.S. population on January 1, 2050. d. From the model, during which year would the U.S. population reach 500 million? 8.295 e. What value will the term approach as t→? 20.0165t Population (millions)
The population of the United States P(t) (in millions) since January 1, 1900, can be approximated by 725 P(f) = -0.0165t 1 + 8.295e where t is the number of years since January 1, 1900. (See Example 6) U.S. Population by Year 800 700 600 y = P(t) 500 400 300 200 100 0. 50 100 150 200 250 300 Year (t = 0 represents 1900) a. Evaluate P(0) and interpret its meaning in the context of this problem. b. Use the function to approximate the U.S. population on January 1, 2020. Round to the nearest million. c. Use the function to approximate the U.S. population on January 1, 2050. d. From the model, during which year would the U.S. population reach 500 million? 8.295 e. What value will the term approach as t→? 20.0165t Population (millions)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 34CT: The population Pinmillions of Texas from 2001 through 2014 can be approximated by the model...
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Transcribed Image Text:The population of the United States P(t) (in millions) since January 1, 1900, can be approximated by
725
P(f) =
-0.0165t
1 + 8.295e
where t is the number of years since January 1, 1900. (See Example 6)
U.S. Population by Year
800
700
600
y = P(t)
500
400
300
200
100
0.
50
100
150
200
250
300
Year (t = 0 represents 1900)
a. Evaluate P(0) and interpret its meaning in the context of this problem.
b. Use the function to approximate the U.S. population on January 1, 2020. Round to the nearest million.
c. Use the function to approximate the U.S. population on January 1, 2050.
d. From the model, during which year would the U.S. population reach 500 million?
8.295
e. What value will the term
approach as t→?
20.0165t
Population (millions)
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