The recent history of vinyl LP record sales since 2005 can be approximated by the quadratic function s(x), where is the number of years since 2005, and s(x) is the number of vinyl LP records sold in millions during the year indicated by the input variable x. The graph of s(x) is displayed above.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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20 Slope of Tangent Line at A = 0.75
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The recent history of vinyl LP record sales since 2005 can be approximated by the quadratic function s(x), where is the number of years since 2005, and s(x) is the number of vinyl LP records sold in
millions during the year indicated by the input variable . The graph of s(x) is displayed above.
Transcribed Image Text:S ⠀⠀⠀⠀⠀ 34 32 30 28 26 24 22 20 Slope of Tangent Line at A = 0.75 18 A = (9, 2.65) 16 14 12 10 -3 -2 -1 X 8 6 4 2 -2 -6 -8 x=9 s(x) A C 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 The recent history of vinyl LP record sales since 2005 can be approximated by the quadratic function s(x), where is the number of years since 2005, and s(x) is the number of vinyl LP records sold in millions during the year indicated by the input variable . The graph of s(x) is displayed above.
Answer in COMPLETE SENTENCES.
(part a)
Input x = 13 into the input box for . Type a sentence to interpret the coordinates of point A in the context of this model. (Your sentence should be about vinyl record sales and the corresponding year and
should not include words such as input, output, plug in, function, etc.).
(part b)
Find the instantaneous rate of change (IROC) of s(x) when x = 13 and write a sentence interpreting your answer in the context of this model. Use correct units. (Your sentence should be about vinyl record
sales and years and should not include words such as input, output, plug in, function, slope, etc.).
(part c)
Move point A to the point on the graph of s(x) that corresponds to the year 2008. Type a sentence to interpret the coordinates of this point A in the context of this model. (Your sentence should be about
vinyl record sales and the corresponding year and should not include words such as input, output, plug in, function, etc.).
(part d)
Find the IROC of s(x) in 2008 and write a sentence interpreting your answer in the context of this model. Use correct units. (Your sentence should be about vinyl record sales and years and should not
include words such as input, output, plug in, function, slope, etc.).
Transcribed Image Text:Answer in COMPLETE SENTENCES. (part a) Input x = 13 into the input box for . Type a sentence to interpret the coordinates of point A in the context of this model. (Your sentence should be about vinyl record sales and the corresponding year and should not include words such as input, output, plug in, function, etc.). (part b) Find the instantaneous rate of change (IROC) of s(x) when x = 13 and write a sentence interpreting your answer in the context of this model. Use correct units. (Your sentence should be about vinyl record sales and years and should not include words such as input, output, plug in, function, slope, etc.). (part c) Move point A to the point on the graph of s(x) that corresponds to the year 2008. Type a sentence to interpret the coordinates of this point A in the context of this model. (Your sentence should be about vinyl record sales and the corresponding year and should not include words such as input, output, plug in, function, etc.). (part d) Find the IROC of s(x) in 2008 and write a sentence interpreting your answer in the context of this model. Use correct units. (Your sentence should be about vinyl record sales and years and should not include words such as input, output, plug in, function, slope, etc.).
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