The total amount spent by some number of people on clothing and footwear in the years 2000-2009 can be modeled by the quadratic function f(x) = - 4.634x2 +71.54x + 97.89, where x= 0 represents January 1, 2000, x= 1 represents January 1, 2001, and so on, and f(x) is in billions of dollars. According to the model, in what year during this period was the amount spent on clothing and footwear a maximum? In the year $ billion was spent on clothing and footwear. (Round the final answer for the amount spent to the nearest whole number as needed. Round all intermediate values to the nearest tenth as needed.)

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.7: Graph Quadratic Functions Using Transformations
Problem 362E: Graph the quadratic function f(x)=2x24x3 first using the properties as we did in the last section...
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The total amount spent by some number of people on clothing and footwear in the years 2000-2009 can be modeled by the quadratic function f(x) = - 4.634x2 +71.54x + 97.89, where x= 0 represents January 1,
2000, x= 1 represents January 1, 2001, and so on, and f(x) is in billions of dollars. According to the model, in what year during this period was the amount spent on clothing and footwear a maximum?
In the year
$ billion was spent on clothing and footwear.
(Round the final answer for the amount spent to the nearest whole number as needed. Round all intermediate values to the nearest tenth as needed.)
Transcribed Image Text:The total amount spent by some number of people on clothing and footwear in the years 2000-2009 can be modeled by the quadratic function f(x) = - 4.634x2 +71.54x + 97.89, where x= 0 represents January 1, 2000, x= 1 represents January 1, 2001, and so on, and f(x) is in billions of dollars. According to the model, in what year during this period was the amount spent on clothing and footwear a maximum? In the year $ billion was spent on clothing and footwear. (Round the final answer for the amount spent to the nearest whole number as needed. Round all intermediate values to the nearest tenth as needed.)
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