Question

alexander visited a bookstore and bought books and magazines. the cost of each book was $15, and each magazine cost $5. he bought b books and m magazines. he also bought p bookmarks that cost $0.50 each. alexanders sister paid half of the bill for the books and magazines.
the total cost of alexanders expense on his purchases can be modeled by the expression ($\frac{1}{2}$)(15b + 5m)+0.5p.
complete the statements to interpret parts of the expression.
use the drop - down arrow to choose the correct answer.
the factor 15b + 5m represents the total cost of alexanders purchases of books and magazines.
the factor $\frac{1}{2}$ in the term ($\frac{1}{2}$)(15b + 5m) means
the p in the term 0.5p represents

Explanation:

Step1: Analyze the factor $\frac{1}{2}$

Since Alexander's sister paid half of the bill for books and magazines, and the total cost of books and magazines is $15b + 5m$, multiplying by $\frac{1}{2}$ gives her share.

Step2: Analyze the variable $p$

Each bookmark costs $0.50$ and the cost of bookmarks is $0.5p$. Here $p$ is the quantity of bookmarks as cost = price per - unit $\times$ quantity.

Answer:

1. The factor $\frac{1}{2}$ in the term $(\frac{1}{2})(15b + 5m)$ means: Alexander's sister paid half of the total cost of books and magazines.
2. The $p$ in the term $0.5p$ represents: the number of bookmarks purchased.