A publishing company estimates that when a new book by a best-selling author is introduced, its sales can be modeled as n(x)68.95 thousand books sold in the United States by the end of the xth week. Sales outside the United States can be modeled as a(x) 0.127x thousand books sold by the end of the xth week. (a) Write a formula for the total number of copies t sold by the end of the xth week. t(x) thousand books (b) Write the rate-of-change formula for the total number of copies sold by the end of the xth week t'(x) = thousand books per week (c) How many copies of the book will be sold by the end of 52 weeks? (Round your answer to three decimal places.) thousand books (d) How rapidly are books selling after 52 weeks? (Round your answer to three decimal places.) thousand books per week Write the answer in a sentence of practical interpretation At the end of 52 weeks, sales areSelect- thousand books per week. by

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A publishing company estimates that when a new book by a best-selling author is introduced, its sales can be modeled as
n(x)68.95
thousand books
sold in the United States by the end of the xth week. Sales outside the United States can be modeled as
a(x) 0.127x thousand books
sold by the end of the xth week.
(a) Write a formula for the total number of copies t sold by the end of the xth week.
t(x)
thousand books
(b) Write the rate-of-change formula for the total number of copies sold by the end of the xth week
t'(x) =
thousand books per week
(c) How many copies of the book will be sold by the end of 52 weeks? (Round your answer to three decimal places.)
thousand books
(d) How rapidly are books selling after 52 weeks? (Round your answer to three decimal places.)
thousand books per week
Write the answer in a sentence of practical interpretation
At the end of 52 weeks, sales areSelect-
thousand books per week.
by
Transcribed Image Text:A publishing company estimates that when a new book by a best-selling author is introduced, its sales can be modeled as n(x)68.95 thousand books sold in the United States by the end of the xth week. Sales outside the United States can be modeled as a(x) 0.127x thousand books sold by the end of the xth week. (a) Write a formula for the total number of copies t sold by the end of the xth week. t(x) thousand books (b) Write the rate-of-change formula for the total number of copies sold by the end of the xth week t'(x) = thousand books per week (c) How many copies of the book will be sold by the end of 52 weeks? (Round your answer to three decimal places.) thousand books (d) How rapidly are books selling after 52 weeks? (Round your answer to three decimal places.) thousand books per week Write the answer in a sentence of practical interpretation At the end of 52 weeks, sales areSelect- thousand books per week. by
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