Answer:
The estimated GDP in 2007 is 12782 billion dollars.
The estimated GDP in 2011 is 15010 billion dollars.
The estimated GDP in 2012 is 15567 billion dollars.
Step-by-step explanation:
Consider the provided function.
![g(y) = 557y +8883](https://tex.z-dn.net/?f=g%28y%29%20%3D%20557y%20%2B8883)
Where y = 10 corresponds to the year 2010.
Part (b) Estimate the GDP (to the nearest billion dollars) in 2007.
If y = 10 corresponds to the year 2010 then y = 7 corresponds to the year 2007.
Substitute the value of y = 7 in the provided function.
![g(y) = 557(7) +8883](https://tex.z-dn.net/?f=g%28y%29%20%3D%20557%287%29%20%2B8883)
![g(y) = 3899+8883](https://tex.z-dn.net/?f=g%28y%29%20%3D%203899%2B8883)
![g(y) = 12782](https://tex.z-dn.net/?f=g%28y%29%20%3D%2012782)
Hence, the estimated GDP in 2007 is 12782 billion dollars.
Part (b) Estimate the GDP (to the nearest billion dollars) in 2011.
If y = 10 corresponds to the year 2010 then y = 11 corresponds to the year 2011.
Substitute the value of y = 11 in the provided function.
![g(y) = 557(11) +8883](https://tex.z-dn.net/?f=g%28y%29%20%3D%20557%2811%29%20%2B8883)
![g(y) = 6127+8883](https://tex.z-dn.net/?f=g%28y%29%20%3D%206127%2B8883)
![g(y) = 15010](https://tex.z-dn.net/?f=g%28y%29%20%3D%2015010)
Hence, the estimated GDP in 2011 is 15010 billion dollars.
Part (C) Estimate the GDP (to the nearest billion dollars) in 2012.
If y = 10 corresponds to the year 2010 then y = 12 corresponds to the year 2012.
Substitute the value of y = 12 in the provided function.
![g(y) = 557(12) +8883](https://tex.z-dn.net/?f=g%28y%29%20%3D%20557%2812%29%20%2B8883)
![g(y) = 6684+8883](https://tex.z-dn.net/?f=g%28y%29%20%3D%206684%2B8883)
![g(y) = 15567](https://tex.z-dn.net/?f=g%28y%29%20%3D%2015567)
Hence, the estimated GDP in 2012 is 15567 billion dollars.