Find the rate of change: James earns $300 in royalties for 250 books. Rounded to the nearest cent, what is the rate of change for James' royalties?

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Answer :

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.