https://file.aiquickdraw.com/mathbot/file/1726776669006fhg8ejyo.jpg

To solve the problem, let's break down the given information and the equations provided:

### Problem Statement:
- Carli and Angela share a cell phone plan and split the bill each month. Last month, their total bill was $109.
- Carli went over her data limit, so her share of the bill was $15 more than Angela's.

### Let's define:
- $ c $: Carli's share of the bill.
- $ a $: Angela's share of the bill.

### Information provided:
1. **Total bill:** $ c + a = 109 $.
2. **Carli's share relation:** $ c = a + 15 $ (Carli's share is $15 more than Angela's).

### Analyzing the Options:
- **Option A:** $ c - a = 15c = a + 109 $
    - This is incorrect since $ c - a = 15 $ should be an equation on its own, not equal to $ 15c = a + 109 $.

- **Option B:** $ c + a = 109a = c + 15 $
    - This is also incorrect because it confuses the order of operations and equality between different types of terms.

- **Option C:** $ c + a = 15c = a + 109 $
    - This is incorrect for the same reason as Option A.

- **Option D:** $ c + a = 109c = a + 15 $
    - This matches the given information: 
        - $ c + a = 109 $ (total bill).
        - $ c = a + 15 $ (Carli's share is $15 more than Angela's).

**Conclusion:**
The correct answer is **Option D**.

Would you like more details on the solution, or do you have any other questions?

### Follow-up Questions:
1. How do you solve for $ c $ and $ a $ using these equations?
2. What is the total bill if Carli’s share is $15 more than Angela’s?
3. How would the equations change if the total bill was $200 instead?
4. If Carli’s share was double Angela’s, what would the equations look like?
5. How do you graph these equations to find their intersection?

**Tip:** Always define your variables clearly before forming equations to avoid confusion.

Carli and Angela share a cell phone plan and split the bill each month. Last month, their total bill was $109. Carli went over her data limit on her phone, so her share of the bill was $15 more than Angela's. Which system of equations represents this situation?

Learn how to solve a system of equations involving the total phone bill of Carli and Angela. Their bill totaled $109, and Carli's share was $15 more than Angela's. This algebraic problem is suitable for students in Grades 8-10.

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