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S 34 32 30 28 26 222222 24 20 Slope of Tangent Line at A = 0.75 18 16 A = (9, 2.65) 14
S 34 32 30 28 26 222222 24 20 Slope of Tangent Line at A = 0.75 18 16 A = (9, 2.65) 14 x=9 12 10 8 s(x) 4 2 1 2 3 -3-2 x -6 -8 A C 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 x 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. Answer in COMPLETE SENTENCES. (part a) Input = 13 into the input box for a. 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() 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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