Final answer:
The relationship between the number of books and the total price can be calculated as a simple proportional relationship with a fixed cost per book, which helps to create a table representing this pattern of cost.
Step-by-step explanation:
The student's question pertains to determining the relationship between the number of books and the total price in a bookstore that sells books at a certain rate. If five books are sold for $65, it implies a simple proportional relationship where the cost per book can be calculated and then used to create a table representing this relationship. We find the cost per book by dividing the total cost by the number of books (i.e., $65/5 books = $13 per book). Hence, we can extend this to find the total cost for any number of books by multiplying the number of books by $13.
- If 1 book is bought, the cost is 1 * $13 = $13
- If 2 books are bought, the cost is 2 * $13 = $26
- If 3 books are bought, the cost is 3 * $13 = $39
- If 4 books are bought, the cost is 4 * $13 = $52
- If 5 books are bought, the cost is 5 * $13 = $65
- ... and so on.
This proportional relationship between the number of books and the total price is a linear one, typically represented in a two-column table with one column for the number of books and the other for the total price.