a local library is offering a promotion where the cost for per book rental decreases as more books are rented. the total cost c for renting b books is given by the rational function: C(b)=50/(b+2')where 50 fixed total cost when no books when no books are rented and b is the number of books rented if a customer wants to rent 8 books, what is the cost per book for renting those 8 books are rented,

To find the cost per book for renting 8 books under the given promotion, we need to evaluate the given rational function \( C(b) = \frac{50}{b + 2} \) at \( b = 8 \).

1. **Substitute \( b = 8 \) into the function**:
   \[
   C(8) = \frac{50}{8 + 2}
   \]

2. **Simplify the expression**:
   \[
   C(8) = \frac{50}{10} = 5
   \]

So, the total cost \( C(8) \) for renting 8 books is 5 units (e.g., dollars). 

Now, to find the cost per book:

3. **Calculate the cost per book**:
   \[
   \text{Cost per book} = \frac{C(8)}{8} = \frac{5}{8} = 0.625 \text{ units per book}
   \]

Therefore, the cost per book for renting 8 books is 0.625 units (e.g., dollars).

Would you like more details, or do you have any questions?

### Related Questions:
1. What is the cost per book if 10 books are rented?
2. How does the cost per book change as the number of books rented increases?
3. What is the minimum cost per book that can be achieved with this promotion?
4. How would the function change if the fixed total cost were 100 units instead of 50?
5. What happens to the cost per book as \( b \) approaches infinity?

### Tip:
Always double-check that the function and values are substituted correctly to avoid simple mistakes.

A local library is offering a promotion where the cost per book rental decreases as more books are rented. The total cost C for renting b books is given by the rational function: C(b) = 50 / (b + 2). If a customer wants to rent 8 books, what is the cost per book for renting those 8 books?

Learn how to calculate the cost per book for renting 8 books using the rational function C(b) = 50/(b + 2). This problem explores key algebraic concepts, focusing on rational functions and is suitable for students in Grades 9-11.

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