Kevin is making brownies. He spent $10.50 on the ingredients, and he sells b brownie squares for $2.50 each. Kevin wants to make over $15 in profit. The inequality below represents this situation.

2.50b − 10.50 > 15
 
Which number line represents how many brownie squares Kevin wants to sell?
A.
B.
C.
D.

To solve this inequality and determine how many brownie squares Kevin wants to sell, let's work through the inequality step by step:

### Given inequality:
\[
2.50b - 10.50 > 15
\]

### Step 1: Add 10.50 to both sides.
\[
2.50b > 15 + 10.50
\]
\[
2.50b > 25.50
\]

### Step 2: Divide both sides by 2.50.
\[
b > \frac{25.50}{2.50}
\]
\[
b > 10.2
\]

### Interpretation:
Kevin needs to sell more than 10.2 brownie squares to make a profit of more than $15. Since the number of brownies must be a whole number, he needs to sell **at least 11 brownies**.

### Answer:
The correct number line should show that Kevin must sell **more than 10.2**, meaning **11 or more brownies**. The number line should have an open circle at 10, indicating that 10 is not included, and the shading should extend to the right, covering all values greater than 10.

Now, based on this solution, the correct choice would be the number line that represents **b > 10**.

Would you like more details or have any questions?

---

Here are 5 related questions:
1. How would the inequality change if Kevin wanted to make more than $20 in profit?
2. What if the cost of ingredients increased to $12.50? How would the inequality change?
3. What if Kevin could only sell brownies in batches of 5? How would that affect the solution?
4. How does the inequality change if Kevin starts with a $5 discount on ingredients?
5. What if Kevin decides to sell each brownie for $3 instead of $2.50?

**Tip:** When solving inequalities, remember to reverse the inequality symbol if you multiply or divide by a negative number.

Kevin is making brownies. He spent $10.50 on the ingredients, and he sells b brownie squares for $2.50 each. Kevin wants to make over $15 in profit. The inequality below represents this situation.

2.50b − 10.50 > 15

Which number line represents how many brownie squares Kevin wants to sell?

Learn how to solve the inequality 2.50b - 10.50 > 15, which represents Kevin's goal to make over $15 in profit from selling brownies. This problem covers algebraic concepts and inequality solving methods. Perfect for students in Grades 6-8.

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