Sure, let's break down the question step by step to find the total cost [tex]\(T\)[/tex] for [tex]\(b\)[/tex] books.
1. Cost per book:
The cost of one book is [tex]$12.
2. Shipping cost per book:
The shipping cost per book is $[/tex]3.
3. Combining the costs:
For each book, you have to pay both the cost of the book and the shipping cost. So, the total cost for one book is:
[tex]\[
12 + 3
\][/tex]
Simplifying this:
[tex]\[
15
\][/tex]
So, the total cost for each book, including shipping, is $15.
4. Total cost [tex]\(T\)[/tex] for [tex]\(b\)[/tex] books:
If you buy [tex]\(b\)[/tex] books, you need to multiply the total cost per book by the number of books:
[tex]\[
T = 15b
\][/tex]
Therefore, the correct formula for the total cost [tex]\(T\)[/tex] for [tex]\(b\)[/tex] books is:
[tex]\[
T = 15b
\][/tex]
Hence, the correct answer is:
[tex]\[
T = 15b
\][/tex]