2. s(x) 0.14(4.1063) million units gives the cumulative total of iPod sales by Apple, where x 0 isthe fiscal year ending in Sept. 2002, 0 sx3a. According to the model, how long after the 2002 fiscal year did it take Apple to have sold a totalof 2.5 million iPods? Round the answer to three decimal places and include units with theanswer Write a rate of change model for the cumulative total sales of iPodsb.How quickly were iPods selling at the time the 2.5 millionth iPod was sold? Include units withC.your answer.d. Find the percentage rate of change in the number of iPods sold at the time of the 2.5 millionthiPod sold. Write a sentence of interpretation

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Asked Oct 18, 2019
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2. s(x) 0.14(4.1063) million units gives the cumulative total of iPod sales by Apple, where x 0 is
the fiscal year ending in Sept. 2002, 0 sx3
a. According to the model, how long after the 2002 fiscal year did it take Apple to have sold a total
of 2.5 million iPods? Round the answer to three decimal places and include units with the
answer
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2. s(x) 0.14(4.1063) million units gives the cumulative total of iPod sales by Apple, where x 0 is the fiscal year ending in Sept. 2002, 0 sx3 a. According to the model, how long after the 2002 fiscal year did it take Apple to have sold a total of 2.5 million iPods? Round the answer to three decimal places and include units with the answer

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Write a rate of change model for the cumulative total sales of iPods
b.
How quickly were iPods selling at the time the 2.5 millionth iPod was sold? Include units with
C.
your answer.
d. Find the percentage rate of change in the number of iPods sold at the time of the 2.5 millionth
iPod sold. Write a sentence of interpretation
help_outline

Image Transcriptionclose

Write a rate of change model for the cumulative total sales of iPods b. How quickly were iPods selling at the time the 2.5 millionth iPod was sold? Include units with C. your answer. d. Find the percentage rate of change in the number of iPods sold at the time of the 2.5 millionth iPod sold. Write a sentence of interpretation

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Expert Answer

Step 1

As per norm, the first three questions are answered. To study the given model for s(x) and its derivative

Step 2

a) x = 2.041 years

s(x) 0.14x(4.106)
(x 02002),0 <x<3.
a)Find x satisfying
0.14x(4.106) 2.5
xlog(4.106) log(2.5)- log (0.14) 1.25181
1.25181
2.041years)
log(4.106)
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s(x) 0.14x(4.106) (x 02002),0 <x<3. a)Find x satisfying 0.14x(4.106) 2.5 xlog(4.106) log(2.5)- log (0.14) 1.25181 1.25181 2.041years) log(4.106)

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Step 3

b) rate of change of a quantity is the derivative ...

d
Basic rule:(a)= a* Ina
dac
s(x) 0.14x(4.106)"
b)rate of change
s'(x) 0.14x ln(4.106) x (4.106)
= 0.198 x (4.106) (millions / year)
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d Basic rule:(a)= a* Ina dac s(x) 0.14x(4.106)" b)rate of change s'(x) 0.14x ln(4.106) x (4.106) = 0.198 x (4.106) (millions / year)

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