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The problem asks for the inequality that represents the maximum number of hats a coach can order given the following conditions:

- Each hat costs $9.95.
- There is a shipping charge of $5.00.
- The total cost must be less than $125.00.

Let $ h $ represent the number of hats. The total cost of the hats can be modeled as:

\[
9.95h + 5
\]

This expression accounts for the cost of $ h $ hats at $9.95 each, plus the fixed shipping charge of $5. The total cost must be less than $125. So, the inequality is:

\[
9.95h + 5 < 125
\]

Now, looking at the answer choices:

- (A) $ 5h + 9.95 > 125 $
- (B) $ 5h + 9.95 < 125 $
- (C) $ 9.95h + 5 > 125 $
- (D) $ 9.95h + 5 < 125 $

The correct answer is **D**.

Would you like more details, or do you have any further questions?

Here are 5 related questions:
1. How would you solve this inequality for the number of hats $ h $?
2. What if the shipping cost was $10 instead of $5? How would the inequality change?
3. How do you graph inequalities like this on a number line?
4. How would the inequality change if the coach's budget increased to $150?
5. How would the problem differ if the cost per hat decreased?

**Tip:** When solving word problems, always define your variables clearly before writing the inequality or equation.

A coach of a baseball team orders hats for the players on his team. Each hat costs $9.95. The shipping charge for the entire order is $5.00. There is no tax on the order. The total cost of the coach's order is less than $125.00. Which inequality can be used to determine the greatest number of hats, h, the coach orders?

Learn how to solve a real-world inequality problem where a baseball team orders hats with a budget constraint. This problem covers algebraic concepts, specifically inequalities and linear equations. Suitable for students in Grades 7-9.

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