The construction industry was one of the hardest-hit by the recession of 2008, but housing starts began increasing again in 2010. The number of housing starts in thousands, during this time period can be modeled by three equations as follows, where x is the number of years after 2002. For 2002-2006, y =1.1x +0.56x+ 101 For 2007-2009, y = - 31.6x+319 For 2010-2019, y= 6.23x- 24.7 a. Create a piecewise-defined function that represents the number of housing units, in thousands, from 2002-2019, with x equal to the number of years after 2002. 1.1x +0.56x + 101 if sxs H(x) = -31.6x +319 if El if
The construction industry was one of the hardest-hit by the recession of 2008, but housing starts began increasing again in 2010. The number of housing starts in thousands, during this time period can be modeled by three equations as follows, where x is the number of years after 2002. For 2002-2006, y =1.1x +0.56x+ 101 For 2007-2009, y = - 31.6x+319 For 2010-2019, y= 6.23x- 24.7 a. Create a piecewise-defined function that represents the number of housing units, in thousands, from 2002-2019, with x equal to the number of years after 2002. 1.1x +0.56x + 101 if sxs H(x) = -31.6x +319 if El if
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![The construction industry was one of the hardest-hit by the recession of 2008, but housing starts began increasing again in 2010. The number of housing starts in
thousands, during this time period can be modeled by three equations as follows, where x is the number of years after 2002.
For 2002-2006, y = 1.1x2 +0.56x + 101
For 2007-2009, y = - 31.6x + 319
For 2010-2019, y = 6.23x-24.7
a. Create a piecewise-defined function that represents the number of housing units, in thousands, from 2002-2019, with x equal to the number of years after 2002.
Valboi
1.1x2 + 0.56x + 101 if sxs
H(x) = -31.6x +319
6.23x - 24.7
i<xs]
A O
(Type whole numbers.)
b. Use the function to find the number of housing starts in 2004, 2008, and 2019.
The number of housing starts was thousand in 2004, thousand in 2008, and
(Type integers or decimals.)
thousand in 2019.
c. Explain the significance of the slope of the line in the second equation. Choose the correct answer below.
The clona is nogntve and this naroon with the faot thot boucing aterto inoronced during this tine neried
Next
abč
2:17
53°F Sunny
12/12
P Type here to search](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F229c24a2-6024-493a-97d2-9e1283259932%2F638bb24e-4aac-4f61-9271-12b8696561a6%2Fwm0nux_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The construction industry was one of the hardest-hit by the recession of 2008, but housing starts began increasing again in 2010. The number of housing starts in
thousands, during this time period can be modeled by three equations as follows, where x is the number of years after 2002.
For 2002-2006, y = 1.1x2 +0.56x + 101
For 2007-2009, y = - 31.6x + 319
For 2010-2019, y = 6.23x-24.7
a. Create a piecewise-defined function that represents the number of housing units, in thousands, from 2002-2019, with x equal to the number of years after 2002.
Valboi
1.1x2 + 0.56x + 101 if sxs
H(x) = -31.6x +319
6.23x - 24.7
i<xs]
A O
(Type whole numbers.)
b. Use the function to find the number of housing starts in 2004, 2008, and 2019.
The number of housing starts was thousand in 2004, thousand in 2008, and
(Type integers or decimals.)
thousand in 2019.
c. Explain the significance of the slope of the line in the second equation. Choose the correct answer below.
The clona is nogntve and this naroon with the faot thot boucing aterto inoronced during this tine neried
Next
abč
2:17
53°F Sunny
12/12
P Type here to search
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