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The unemployment rate U(t) varies with time. The table gives the percentage of unemployed in a certain country's labor force from 1999 to 2008. tU(t) 1999 4.2 2004 5.3 2000 4.0 2001 4.7 2002 5.9 2003 6.4 t U(t) 2005 5.1 2006 4.5 2007 4.5 2008 5.9 (a) What is the meaning of U'(t)? O The derivative U'(t) is the percentage of people who are unemployed at a given time. O The derivative U(t) is the number of people who are unemployed at a given time. O The derivative U(t) is the rate at which the unemployment rate is changing with respect to time. O The derivative U'(t) is the rate at which people are being fired with respect to time. What are its units? O percent unemployed people per year O people O percent unemployed per year (b) Construct a table of values for U'(t). (Use h = 1 for 1999 and h = -1 for 2008. For all other years, use h = -1 and h = 1.) U'(t) 1999 -0.2 U'(t) 2004 2000 2005 2001 2006 2002 2007 2003 2008

The unemployment rate U(t) varies with time. The table gives the percentage of unemployed in a certain country's labor force from 1999 to 2008. tU(t) 1999 4.2 2004 5.3 2000 4.0 2001 4.7 2002 5.9 2003 6.4 t U(t) 2005 5.1 2006 4.5 2007 4.5 2008 5.9 (a) What is the meaning of U'(t)? O The derivative U'(t) is the percentage of people who are unemployed at a given time. O The derivative U(t) is the number of people who are unemployed at a given time. O The derivative U(t) is the rate at which the unemployment rate is changing with respect to time. O The derivative U'(t) is the rate at which people are being fired with respect to time. What are its units? O percent unemployed people per year O people O percent unemployed per year (b) Construct a table of values for U'(t). (Use h = 1 for 1999 and h = -1 for 2008. For all other years, use h = -1 and h = 1.) U'(t) 1999 -0.2 U'(t) 2004 2000 2005 2001 2006 2002 2007 2003 2008

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 30CR
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The unemployment rate U(t) varies with time. The table gives the percentage of unemployed in a certain country's labor force from 1999 to 2008. tU(t) tU(t) 1999 4.2 2004 5.3 2000 4.0 2005 5.1 2001 4.7 2006 4.5 2002 5.9 2003 6.4 2007 4.5 2008 5.9 (a) What is the meaning of U'(t)? O The derivative U'(t) is the percentage of people who are unemployed at a given time. The derivative U'(t) is the number of people who are unemployed at a given time. O The derivative U(t) is the rate at which the unemployment rate is changing with respect to time. O The derivative U'(t) is the rate at which people are being fired with respect to time. What are its units? O percent unemployed people per year O people O percent unemployed per year (b) Construct a table of values for U'(t). (Use h = 1 for 1999 and h = -1 for 2008. For all other years, use h = -1 and h = 1.) U'(t) U'(t) 1999 -0.2 2004 2000 2005 2001 2006 2002 2007 2003 2008
Transcribed Image Text:The unemployment rate U(t) varies with time. The table gives the percentage of unemployed in a certain country's labor force from 1999 to 2008. tU(t) tU(t) 1999 4.2 2004 5.3 2000 4.0 2005 5.1 2001 4.7 2006 4.5 2002 5.9 2003 6.4 2007 4.5 2008 5.9 (a) What is the meaning of U'(t)? O The derivative U'(t) is the percentage of people who are unemployed at a given time. The derivative U'(t) is the number of people who are unemployed at a given time. O The derivative U(t) is the rate at which the unemployment rate is changing with respect to time. O The derivative U'(t) is the rate at which people are being fired with respect to time. What are its units? O percent unemployed people per year O people O percent unemployed per year (b) Construct a table of values for U'(t). (Use h = 1 for 1999 and h = -1 for 2008. For all other years, use h = -1 and h = 1.) U'(t) U'(t) 1999 -0.2 2004 2000 2005 2001 2006 2002 2007 2003 2008
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