Let represent the total cost of publishing a book (in dollars). Let represent the number of copies of the book printed. Suppose that and are related by the equation 25x+1100=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? What is the cost to get started (before any books are printed)?

Answer 1

The equation given is \( y = 25x + 1100 \), where \( y \) represents the total cost of publishing a book and \( x \) represents the number of copies printed.

1. Change in total cost for each book printed:

   • The coefficient of \( x \) in the equation is 25. This indicates that for each additional book printed, the total cost \( y \) increases by $25.
   • Therefore, the change in the total cost for each book printed is \( +25 \) (indicating an increase).

2. Cost to get started (before any books are printed):

   • The constant term in the equation is 1100. This represents the fixed cost associated with publishing the book, which is incurred without printing any copies.
   • Thus, the cost to get started (before any books are printed) is \( 1100 \) dollars.

In summary:

• The change in total cost for each book printed is \( +25 \) dollars.
• The cost to get started is \( 1100 \) dollars.