c) Using your calculations from b, sketch the subscriber model. d) Use your graph to predict how long it will take for there to be 60 000 subscribers left. e) Confirm your result using logarithms. f) Suppose after the first hour, Yovanna's subscriber count decreased by half. On your graph above, sketch a second curve that represents the new subscriber model.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Answer questions d,e and f
c) Using your calculations from b, sketch the subscriber model.
d) Use your graph to predict how long it will take for there to be 60 000 subscribers left.
e) Confirm your result using logarithms.
f) Suppose after the first hour, Yovanna's subscriber count decreased by half.
On your graph above, sketch a second curve that represents the new subscriber model.
Transcribed Image Text:c) Using your calculations from b, sketch the subscriber model. d) Use your graph to predict how long it will take for there to be 60 000 subscribers left. e) Confirm your result using logarithms. f) Suppose after the first hour, Yovanna's subscriber count decreased by half. On your graph above, sketch a second curve that represents the new subscriber model.
6. A social media analyst observed the decline in YouTube followers of Yovanna, a vegan guru, who
was caught eating fish. Before Yovanna was cancelled, she had a subscriber count of 500 000. Since
then, she experienced a decline of 13% per hour.
a) Explain how the model S = 500 000 x (0.87) relates to Yovanna's decline in subscribers and
what each variable represents.
b) Use the model to predict the number of subscribers Yovanna has after:
i.
1 hour.
ii.
5 hours.
111.
10 hours.
Transcribed Image Text:6. A social media analyst observed the decline in YouTube followers of Yovanna, a vegan guru, who was caught eating fish. Before Yovanna was cancelled, she had a subscriber count of 500 000. Since then, she experienced a decline of 13% per hour. a) Explain how the model S = 500 000 x (0.87) relates to Yovanna's decline in subscribers and what each variable represents. b) Use the model to predict the number of subscribers Yovanna has after: i. 1 hour. ii. 5 hours. 111. 10 hours.
Expert Solution
Step 1

The given model is S=500000(0.87)t.

(d) To Find: time ( using graph)  when 60,000 subscribers are left.

(e) To verify: the time found above (using logarithm).

(f) To Formulate: A new model when subscribers count decreased by half after the first hour. Also, Sketch it with the above model.

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