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Matching Tables to Contexts
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A bookstore sells 4 books for $46. Which table represents the relationship between number of books and the total price?
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GPT-4o mini
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.
\[
\text{Price per book} = \frac{46}{4} = 11.50
\]
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.
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