Question
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?
Ask by Thornton Harris. in the United States
Feb 19,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
For each book printed, the total cost increases by $10.
Solution
The given equation is y = 10x + 1150. The coefficient of x (which is 10) represents the amount by which the total cost increases for each additional book printed. Therefore, for each book printed, the total cost increases by 10 dollars.
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Extra Insights
Each additional book printed increases the total cost by $10. This is derived from the term \( 10x \) in the equation \( 10x + 1150 = y \), where \( 10 \) represents the variable cost per book. So, every time you print one more copy, you incur an additional cost of $10.