Interpreting the parameters of a linear function that models a real-world... Let \( y \) represent the total cost of publishing a book (in dollars). Let \( x \) represent the number of copies of the book printed. Suppose that \( x \) and \( y \) are related by the equation \( 10 x+1150=y \). Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number. What is the change in the total cost for each book printed? \( \$ 10 \) What is the cost to get started (before any books are printed)? \( \$ \square \)
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The equation \( 10x + 1150 = y \) clearly indicates that the cost to get started, which is the fixed cost incurred before printing any copies, is \( \$1150 \). This amount covers the initial expenses regardless of how many copies of the book are printed. To break it down further, each additional book printed incurs a variable cost of \( \$10 \). This is the cost you'd expect to pay for each individual copy, reflecting the linear nature of the equation where \( 10x \) represents the total variable costs based on the number of books. So you've got $10 for each book, and $1150 to kick things off!
