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The problem is asking to write a linear inequality in standard form for a budgeting situation. Let's break it down:

- **Ms. Savva's budget** is **no more than $100**, which means the total cost cannot exceed $100.
- **The cost of an order of breadsticks** is **$8**.
- **The cost of an order of bagels** is **$13**.

Let:
- $ x $ represent the number of breadstick orders.
- $ y $ represent the number of bagel orders.

The total cost for $ x $ breadstick orders and $ y $ bagel orders is:

\[
8x + 13y
\]

Since the total budget is no more than $100, the inequality for this situation is:

\[
8x + 13y \leq 100
\]

Now, looking at the options:

1. $ 8x + 13y \leq 100 $ – This is the correct inequality.
2. $ 8x + 13y < 100 $ – Incorrect because the budget is "no more than" 100, so it includes the possibility of spending exactly $100.
3. $ 8x + 13y > 180 $ – Incorrect, unrelated to the given budget.
4. $ 8x + 13y \geq 100 $ – Incorrect because the budget is a maximum, not a minimum.

Thus, **Option 1** is the correct choice.

Do you want more details or have any questions about this solution? Here are 5 related questions for further practice:

1. How would the inequality change if the budget increased to $150?
2. What if the cost of bagels was $10 instead of $13?
3. How can you graph this inequality on a coordinate plane?
4. What are the intercepts of the inequality $ 8x + 13y \leq 100 $?
5. If Ms. Savva buys 4 orders of breadsticks, how many bagels can she buy within the budget?

**Tip:** When working with inequalities, always pay attention to whether the inequality includes or excludes the boundary values (≤ vs. <).

Ms. Savva is ordering bagels and breadsticks for a school party and has a budget of no more than $100. An order of breadsticks costs $8 and an order of bagels costs $13. Write the linear inequality in standard form.

Learn how to write a linear inequality in standard form for a budgeting problem involving bagels and breadsticks. This example shows how to represent a budget constraint using an inequality. Suitable for students in Grades 6-8.

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