To create a table representing the relationship between the number of books and the total price, we first need to determine the price per book. Given that 4 books cost $46, we can calculate the price per book:
\[ \text{Price per book} = \frac{46}{4} = 11.50 \]
Now, we can create a table that shows the number of books (let's denote it as \(x\)) and the corresponding total price (\(P\)). The total price can be calculated using the formula:
\[ P = 11.50x \]
Here's how the table will look for a few values of \(x\):
| Number of Books (x) | Total Price (P) | |----------------------|------------------| | 0 | $0.00 | | 1 | $11.50 | | 2 | $23.00 | | 3 | $34.50 | | 4 | $46.00 | | 5 | $57.50 | | 6 | $69.00 |
This table represents the linear relationship between the number of books and the total price. You can continue this table for higher numbers of books if needed.