Question

Book Store A sells 25 books for a total of $393.75. The equation y = 5.25x represents the cost of buying x books from Book Store B.

Select the options that correctly complete the sentences.

Part A
The price per book at Book Store
A

is higher.

Part B
The price per book at Book Store B is

the price per book at Book Store A.

Answer 1

To solve these parts, we first need to determine the price per book at both Book Store A and Book Store B.

**Part A: Price per book at Book Store A**

At Book Store A, the total cost for 25 books is $393.75. To find the price per book, we divide the total cost by the number of books:

\[
\text{Price per book at A} = \frac{393.75}{25} = 15.75
\]

So, the price per book at Book Store A is $15.75.

**Part B: Price per book at Book Store B**

The equation provided for Book Store B is \( y = 5.25x \). To find the price per book:

When \( x = 1 \),

\[
y = 5.25 \cdot 1 = 5.25
\]

So, the price per book at Book Store B is $5.25.

**Comparing the prices**:

- Price per book at Store A: $15.75
- Price per book at Store B: $5.25

Now let's answer the parts.

**Part A**: The price per book at Book Store **A** is higher.

**Part B**: The price per book at Book Store B is **lower than** the price per book at Book Store A.