To find the rate of change in this context, we need to determine how much James earns per book sold. Here’s the step-by-step process:
1. Identify the total royalties and the number of books:
- James earns a total of [tex]$300.
- This amount is for selling 250 books.
2. Calculate the rate of change:
- The rate of change (or unit rate) can be calculated by dividing the total royalties by the number of books. This gives us:
\[
\text{Rate of Change} = \frac{\text{Total Royalties}}{\text{Number of Books}} = \frac{300}{250}
\]
3. Compute the division:
- When we divide $[/tex]300 by 250, we get:
[tex]\[
\frac{300}{250} = 1.2
\][/tex]
4. Round to the nearest cent:
- The result, 1.2, is already a monetary value rounded to the nearest cent.
Therefore, the rate of change for James' royalties, when rounded to the nearest cent, is $1.20 per book.
