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. 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?
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. 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?
Solution Summary: The author explains the steps in a Ti-83 graphing calculator mentioned in chronological order to determine the function which will best fit the model.
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.
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?
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