The average weekly sales for a clothing store between 2004 and 2008 are given below. Average Weekly Sales for a Clothing Store Year 2004 2005 2006 2007 2008 Thousand Dollars 38.93 53.63 63.77 72.03 68.17 (a) What behavior suggested by a scatter plot of the data indicates that a quadratic model is appropriate? O no concavities O two concavities with no change in direction O a single concavity with no change in direction O a single concavity with a change in direction (b) Align the input so that t=0 in 2000. Find a function for quadratic model for the data that gives the average weekly sales for the clothing store in thousand dollars, with data from 4 sts 8. (Round all numerical values to three decimal places.) s(t) = (c) Numerically estimate the derivative of the model from part (b) in 2007 to the nearest hundred dollars. $ per year (d) Interpret the answer to part (c). In 2007, the average weekly sales for the clothing store wen✔✔ ---Select-- 1 $ per year.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The average weekly sales for a clothing store between 2004 and 2008 are given below.
Average Weekly Sales for
a Clothing Store
Year
2004
2005
2006
2007
2008
Thousand
Dollars
38.93
53.63
63.77
72.03
68.17
(a) What behavior suggested by a scatter plot of the data indicates that a quadratic model is appropriate?
O no concavities
O two concavities with no change in direction
O a single concavity with no change in direction
O a single concavity with a change in direction
(b) Align the input so that t=0 in 2000. Find a function for quadratic model for the data that gives the average weekly sales for the clothing store in thousand dollars, with data from 4 st≤ 8. (Round all numerical
values to three decimal places.)
s(t) =
(c) Numerically estimate the derivative of the model from part (b) in 2007 to the nearest hundred dollars.
$
per year
(d) Interpret the answer to part (c).
In 2007, the average weekly sales for the clothing store wer✔ ---Select---
increasing
per year.
Transcribed Image Text:The average weekly sales for a clothing store between 2004 and 2008 are given below. Average Weekly Sales for a Clothing Store Year 2004 2005 2006 2007 2008 Thousand Dollars 38.93 53.63 63.77 72.03 68.17 (a) What behavior suggested by a scatter plot of the data indicates that a quadratic model is appropriate? O no concavities O two concavities with no change in direction O a single concavity with no change in direction O a single concavity with a change in direction (b) Align the input so that t=0 in 2000. Find a function for quadratic model for the data that gives the average weekly sales for the clothing store in thousand dollars, with data from 4 st≤ 8. (Round all numerical values to three decimal places.) s(t) = (c) Numerically estimate the derivative of the model from part (b) in 2007 to the nearest hundred dollars. $ per year (d) Interpret the answer to part (c). In 2007, the average weekly sales for the clothing store wer✔ ---Select--- increasing per year.
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