The daily sales S (in thousands of dollars) that are attributed to an advertising campaign are given by S = 14 + (t + where t is the number of weeks the campaign runs. (a) Find the rate of change of sales at any time t. S' = (b) Use the second derivative to find how this rate is changing at t = 15. (c) Interpret your result in part (b). The rate of change of the rate of change v in sales (after 15 weeks) is the amount given in part (b).

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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The daily sales S (in thousands of dollars) that are attributed to an advertising campaign are given by
17
3
S = 14 +
t + 2
(t + 2)2
where t is the number of weeks the campaign runs.
(a) Find the rate of change of sales at any time t.
S' =
(b) Use the second derivative to find how this rate is changing at t = 15.
(c) Interpret your result in part (b).
The rate of change of the rate of change v
in sales (after 15 weeks) is the amount given in part (b).
Transcribed Image Text:The daily sales S (in thousands of dollars) that are attributed to an advertising campaign are given by 17 3 S = 14 + t + 2 (t + 2)2 where t is the number of weeks the campaign runs. (a) Find the rate of change of sales at any time t. S' = (b) Use the second derivative to find how this rate is changing at t = 15. (c) Interpret your result in part (b). The rate of change of the rate of change v in sales (after 15 weeks) is the amount given in part (b).
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