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Let P = f(t) represent the US population in millions in year t. (a) What does the statement f(2005) = 296 tell you about the US population? O The US population was 296 million people in 2005. O In 296 years there will be 2005 million people in the US. O There were at most 296 million people in the US before the year 2005. O 296 million people were born in the US in 2005. (b) f-¹(296) = Interpret f-¹(296). O This was the year in which the US population was 296 million. O This was the US population in the year 296. O This was how fast the US population grew by the year 2005. O This was the number of people in the US in the year 296. --Units-- (c) What does the statement f'(2005) = 2.65 tell you about the population? O The US population grew by 2005 million people over 2.65 years. O The range of the US population in 2005 was about 2.65 million people. O The US population was constant for 2.65 years before 2005. O The US population grew by about 2.65 million people between 2005 and 2006. What are the units of f'(2005)? O millions of people per year O years per million people years O millions of people (d) (f-1) '(296) = Interpret (f1) '(296). O This was the rate at which the US population grew when the population was 296 million people. O This was the number of years it took the US population to increase by one million people when the population was 296 million. O This was how long the US population stayed at 296 million people. O The US population reached 296 million people this many years after the year 2000. --Units--

Let P = f(t) represent the US population in millions in year t. (a) What does the statement f(2005) = 296 tell you about the US population? O The US population was 296 million people in 2005. O In 296 years there will be 2005 million people in the US. O There were at most 296 million people in the US before the year 2005. O 296 million people were born in the US in 2005. (b) f-¹(296) = Interpret f-¹(296). O This was the year in which the US population was 296 million. O This was the US population in the year 296. O This was how fast the US population grew by the year 2005. O This was the number of people in the US in the year 296. --Units-- (c) What does the statement f'(2005) = 2.65 tell you about the population? O The US population grew by 2005 million people over 2.65 years. O The range of the US population in 2005 was about 2.65 million people. O The US population was constant for 2.65 years before 2005. O The US population grew by about 2.65 million people between 2005 and 2006. What are the units of f'(2005)? O millions of people per year O years per million people years O millions of people (d) (f-1) '(296) = Interpret (f1) '(296). O This was the rate at which the US population grew when the population was 296 million people. O This was the number of years it took the US population to increase by one million people when the population was 296 million. O This was how long the US population stayed at 296 million people. O The US population reached 296 million people this many years after the year 2000. --Units--

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let P = f(t) represent the US population in millions in year t. (a) What does the statement f(2005) = 296 tell you about the US population? O The US population was 296 million people in 2005. O In 296 years there will be 2005 million people in the US. There were at most 296 million people in the US before the year 2005. O 296 million people were born in the US in 2005. (b) f-¹(296) = Interpret f-1(296). O This was the year in which the US population was 296 million. O This was the US population in the year 296. This was how fast the US population grew by the year 2005. O This was the number of people in the US in the year 296. (c) What does the statement f'(2005) = 2.65 tell you about the population? O The US population grew by 2005 million people over 2.65 years. O The range of the US population in 2005 was about 2.65 million people. The US population was constant for 2.65 years before 2005. O The US population grew by about 2.65 million people between 2005 and 2006. What are the units of f'(2005)? O millions of people per year years per million people --Units-- O years O millions of people (d) (f¹) '(296) = = --Units-- Interpret (f1) '(296). O This was the rate at which the US population grew when the population was 296 million people. O This was the number of years it took the US population to increase by one million people when the population was 296 million. O This was how long the US population stayed at 296 million people. O The US population reached 296 million people this many years after the year 2000.
Transcribed Image Text:Let P = f(t) represent the US population in millions in year t. (a) What does the statement f(2005) = 296 tell you about the US population? O The US population was 296 million people in 2005. O In 296 years there will be 2005 million people in the US. There were at most 296 million people in the US before the year 2005. O 296 million people were born in the US in 2005. (b) f-¹(296) = Interpret f-1(296). O This was the year in which the US population was 296 million. O This was the US population in the year 296. This was how fast the US population grew by the year 2005. O This was the number of people in the US in the year 296. (c) What does the statement f'(2005) = 2.65 tell you about the population? O The US population grew by 2005 million people over 2.65 years. O The range of the US population in 2005 was about 2.65 million people. The US population was constant for 2.65 years before 2005. O The US population grew by about 2.65 million people between 2005 and 2006. What are the units of f'(2005)? O millions of people per year years per million people --Units-- O years O millions of people (d) (f¹) '(296) = = --Units-- Interpret (f1) '(296). O This was the rate at which the US population grew when the population was 296 million people. O This was the number of years it took the US population to increase by one million people when the population was 296 million. O This was how long the US population stayed at 296 million people. O The US population reached 296 million people this many years after the year 2000.
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