The average weekly sales for a clothing store between 2004 and 2008 are given below. Average Weekly Sales for a Clothing Store Year Thousand Dollars 2004 38.85 2005 53.64 2006 63.78 2007 72.1 2008 68.03 (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 ≤ t ≤ 8. (Round all numerical values to three decimal places.) s(t)=−2.835t2+41.693t−83.182 (c) Numerically estimate the derivative of the model from part (b) in 2007 to the nearest hundred dollars. (BLANK)$ per year (d) Interpret the answer to part (c). In 2007, the average weekly sales for the clothing store were increasing by (BLANK) $ per year.
The average weekly sales for a clothing store between 2004 and 2008 are given below. Average Weekly Sales for a Clothing Store Year Thousand Dollars 2004 38.85 2005 53.64 2006 63.78 2007 72.1 2008 68.03 (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 ≤ t ≤ 8. (Round all numerical values to three decimal places.) s(t)=−2.835t2+41.693t−83.182 (c) Numerically estimate the derivative of the model from part (b) in 2007 to the nearest hundred dollars. (BLANK)$ per year (d) Interpret the answer to part (c). In 2007, the average weekly sales for the clothing store were increasing by (BLANK) $ per year.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
Related questions
Question
The average weekly sales for a clothing store between 2004 and 2008 are given below.
Average Weekly Sales for
a Clothing Store
a Clothing Store
| Year | Thousand Dollars |
|---|---|
| 2004 | 38.85 |
| 2005 | 53.64 |
| 2006 | 63.78 |
| 2007 | 72.1 |
| 2008 | 68.03 |
(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 ≤ t ≤ 8. (Round all numerical values to three decimal places.) s(t)=−2.835t2+41.693t−83.182
(c) Numerically estimate the derivative of the model from part (b) in 2007 to the nearest hundred dollars. (BLANK)$ per year
(d) Interpret the answer to part (c).
In 2007, the average weekly sales for the clothing store were increasing by (BLANK) $ per year.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning