Question

Gary’s is a small publishing company that publishes math books. The production costs include a one-time cost for editing the book, which is $1,050 for the book the company is currently working on (The Universe of Math). Once the book is in production, the only cost will be the variable cost of printing, which is $15 per book. The company will market the book at a price of $35. If you were to plot a graph of the profit generated by this book, what would the slope and the y-intercept represent?

Answer 1

 $1,100 would be represented

Answer 2

The y- intercept is -1,050 and the slope of the graph is 20.

Explanation:

Consider the provided information.

The slope intercept form is:

`y=mx+b`

Where m is the slope and b is the y intercept.

The production costs include a one-time cost for editing the book, which is $1,050.

We need to find the y-intercept, here the y-intercept is the one-time cost of editing the book.

As we want to plot a graph of the profit so the cost will represented as negative.

Therefore, b = -1,050

Hence, the y- intercept is -1,050.

Now again consider the provided information.

The company will market the book at a price of $35 but it is given that the cost of printing, is $15 per book.

Thus, the slope is the difference of the selling price and production cost.

Or we can say that the slope is the profit per book sold.

Slope = m = 35 - 15 = 20

Hence, the slope of the graph will be 20.

The required equation of the graph is y=20x-1050