Addition and subtraction of linear functions Publishing a book A young poet is considering self-publishing his first book of poetry. He called a priniting press and obtained the following information on the costs involved in printing a book: Book-printing costs initial costs (design, typesetting) $500 cost per copy (paper, printing, and binding) $3 The poet wants to sell the book at $7 per copy. To decide whether to go ahead with the project, he wants to estimate whether publication will result in a net loss, cover printing costs, or make some profit. Using the tool at the bottom of the page, generate: - An income function describing the dependence of income from selling books on the number of books sold. - An expense function describing the dependence of printing costs on the number of copies printed. What is the minimum number of books the author must sell to break even? Describe how the answer to this question is expressed in the graphs and in the value tables. If the poet wants to give 20 free copies to friends and family, how would you change the mathematical description and how would this affect the minimum number of books that must be sold to break even? Examine how the following changes affect the minimum number of books that must be sold to cover costs: - An increase in the initial cost. - An increase in the cost per copy. - An increase in the initial cost and a decrease in the cost per copy. table step grid 1 2 3 graph width dollars number of books income: f expenses: g profits: f-g

Addition of linear functions Subtraction of linear functions Relations between functions and their sum Properties of the difference graph Constructing a difference graph Shared savings Publishing a book Connection to the Internet Car chase Hot and cold drinks Exercise 1 Exercise 2 Exercise 3 Exercise 4 Exercise 5