The sales of a book tend to increase over the short-term as word-of-mouth makes the book "catch on." The number of books sold N(t) for a new novel t weeks after release at a certain book store is given in the table for the first 6 weeks. Book Sales vs. Weeks after Release Number Sold N(f) 50 Weeks t 40 20 30 27 20 3 31 10 4 35 38 1 3 39 Week a. Find a model of the form N(t) = a + b In t. Round a and b to 1 decimal place. b. Use the model to predict the sales in week 7. Round to the nearest whole unit. c. Is it reasonable to assume that this logarithmic trend will continue? Why or why not? 2. Number Sold 2. 5.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The sales of a book tend to increase over the short-term as word-of-mouth makes the book "catch on." The number of
books sold N(t) for a new novel t weeks after release at a certain book store is given in the table for the first 6 weeks.
Book Sales vs. Weeks after Release
Number
Sold N(f)
50
Weeks t
40
20
30
27
20
3
31
10
4
35
38
1
3
39
Week
a. Find a model of the form N(t) = a + b In t. Round a and b to 1 decimal place.
b. Use the model to predict the sales in week 7. Round to the nearest whole unit.
c. Is it reasonable to assume that this logarithmic trend will continue? Why or why not?
2.
Number Sold
2.
5.
Transcribed Image Text:The sales of a book tend to increase over the short-term as word-of-mouth makes the book "catch on." The number of books sold N(t) for a new novel t weeks after release at a certain book store is given in the table for the first 6 weeks. Book Sales vs. Weeks after Release Number Sold N(f) 50 Weeks t 40 20 30 27 20 3 31 10 4 35 38 1 3 39 Week a. Find a model of the form N(t) = a + b In t. Round a and b to 1 decimal place. b. Use the model to predict the sales in week 7. Round to the nearest whole unit. c. Is it reasonable to assume that this logarithmic trend will continue? Why or why not? 2. Number Sold 2. 5.
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