Retail Sales November and December retail sales, excluding autos, for the years 2001–2010 can be modeled by the function S(x) = −1.751x2 + 38.167x + 388.997 billion dollars, where x is the number of years after 2000.
a. Graph the function for values of x representing 2001–2010.
b. During what years does the model estimate the sales to be $550 billion?
c. The recession in 2008 caused retail sales to drop. Does the model agree with the facts; that is, does it indicate that a maximum occurred in 2008?
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