Explanation:
Given information
The modeled function given is y = 1200 + 10x
Where,
y represents the total cost of publishing a book
x represents the number of copies of the book
Part a
What is the change in the total cost for each book printed?
Remember that the change in the total cost for each book printed is the same thing as the slope
The next step is to find the slope
Recall that, the slope-intercept form is given as
y = mx + b
where m is the slope of the line
b is the intercept of the line
From the equation given
y = 10x + 1200
Hence, the slope is 10 dollars/ copy
Therefore, the change in total cost for each book printed is 10 dollars/copy
Part B
What is the cost to get started?
The cost to get started can be calculated when no book has been printed
This implies that x = 0
Therefore
y = 1200 + 10(0)
y = 1200 + 0
y = $ 1200
Therefore, the cost to get started is $1200