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The image contains a problem where Trey wants to buy a certain number of packs of pens. Here's the text extracted from the image:

"Trey wants to buy \(x\) packs of pens. The price of each pack of pens is \(6x\), then add the cost for shipping which is a fixed cost of \(5\) dollars. Which of the following options of equations correctly models the total cost in dollars as a function of \(x\), the number of packs of pens purchased?"

We need to find the correct equation that models the total cost, \(C(x)\).

### Solution:
- The cost per pack of pens is \(6\) dollars.
- Trey wants to buy \(x\) packs, so the cost for \(x\) packs is \(6x\).
- Adding a fixed shipping cost of \(5\) dollars, the total cost \(C(x)\) is given by:

\[
C(x) = 6x + 5
\]

Would you like further details or have any questions? 

Here are some related questions for deeper understanding:
1. What would the total cost be if Trey buys 4 packs of pens?
2. How does the total cost change if the shipping cost is doubled?
3. What happens to the total cost if Trey buys one less pack of pens?
4. How would the equation change if each pack of pens had a different cost?
5. How can we graph the function \(C(x) = 6x + 5\)?

**Tip:** Always identify fixed and variable costs separately when modeling problems with equations.

Trey wants to buy x packs of pens. The price of each pack of pens is 6x, then add the cost for shipping which is a fixed cost of 5 dollars. Which of the following options of equations correctly models the total cost in dollars as a function of x, the number of packs of pens purchased?

Learn how to model the total cost of buying pens using a linear equation. This problem explores linear functions and cost modeling with real-world applications. Suitable for students in Grades 6-8.

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