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 ofyears after 2000.a. Graph the function for values of x representing2001–2010.b. During what years does the model estimate thesales to be $550 billion?c. The recession in 2008 caused retail sales to drop.Does the model agree with the facts; that is, doesit indicate that a maximum occurred in 2008?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 58E
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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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