The following table shows the median income, in thousands of dollars, of American families for 2003 through 2008. Income (thousands of dollars) Vear 2003 52.68 54.06 2004 2005 56.19 2006 58.41 2007 2008 61.36 61.52 (a) Plot the data. H H 62 62 61 61 60 60 59 59 58 58 57 57 56 56 55 55 54 54 53 53 2004 2005 2006 2007 2008 2004 2005 2006 2007 2008 H. H 62 62 61 61 60 60 59 59 58 58 57 57 56 56 55 54 54 53 53 L LLLL t 2007 2004 2005 2006 2008 2004 2005 2006 2007 2008 (b) Use exponential regression to construct an exponential model for the income data. (Let t be years since 2003 and H be the median household income in thousand of dollars.) OH= 62.520 x 0.967 OH = 57.370 x 1.010 OH = 71.932 x 0.856 OH = 49.035 x 1.245 O H = 52.587 x 1.035 (c) What was the yearly percentage growth rate in median family income during this period? (Use the model found in part (b). Round your answer to one decimal place.)

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The following table shows the median income, in thousands of dollars, of American families for 2003 through 2008.
Year
2003
2004
Income (thousands of dollars)
52.68
54.06
2005
56.19
2006
58.41
2007
2008
61.36
61.52
(a) Plot the data.
H
H
62
62
61
61
60
60
59
59
58
58
57
57
56
56
55
55
54
54
53
53
2004
2005
2006
2007
2008
2004
2005
2006
2007
2008
H
H.
62
62
61
61
60
60
59
59
58
58
57
57
56
56
55
55
54
54
53
53
2004
2005
2006
2007
2008
2004
2005
2006
2007
2008
(b) Use exponential regression to construct an exponential model for the income data. (Let t be years since 2003 and H be the median household income in thousand of dollars.)
OH = 62.520 x 0.967
OH = 57.370 x 1.010
OH = 71.932 x 0.856
OH = 49.035 x 1.245
O H = 52.587 x 1.035
(c) What was the yearly percentage growth rate in median family income during this period? (Use the model found in part (b). Round your answer to one decimal place.)
Transcribed Image Text:The following table shows the median income, in thousands of dollars, of American families for 2003 through 2008. Year 2003 2004 Income (thousands of dollars) 52.68 54.06 2005 56.19 2006 58.41 2007 2008 61.36 61.52 (a) Plot the data. H H 62 62 61 61 60 60 59 59 58 58 57 57 56 56 55 55 54 54 53 53 2004 2005 2006 2007 2008 2004 2005 2006 2007 2008 H H. 62 62 61 61 60 60 59 59 58 58 57 57 56 56 55 55 54 54 53 53 2004 2005 2006 2007 2008 2004 2005 2006 2007 2008 (b) Use exponential regression to construct an exponential model for the income data. (Let t be years since 2003 and H be the median household income in thousand of dollars.) OH = 62.520 x 0.967 OH = 57.370 x 1.010 OH = 71.932 x 0.856 OH = 49.035 x 1.245 O H = 52.587 x 1.035 (c) What was the yearly percentage growth rate in median family income during this period? (Use the model found in part (b). Round your answer to one decimal place.)
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