1. **Problem Statement:**
We have a cell phone plan costing 30 per month including 5GB of data. For each GB over 5, there is an additional charge of 7.50 per GB. After calculating the total, a 10% tax is applied. We want to find the equation for the total monthly cost $C$ when $x$ GBs are used and $x > 5$.
2. **Understanding the components:**
- Base cost: 30
- Extra data used: $x - 5$ GB
- Cost for extra data: $7.50 \times (x - 5)$
- Total before tax: $30 + 7.50(x - 5)$
- Tax: 10% of total before tax, so multiply by 1.10
3. **Formulating the equation:**
The total cost including tax is:
$$
C = (30 + 7.50(x - 5)) \times 1.10
$$
4. **Matching with given options:**
Option (E) is exactly:
$$
C = (30 + 7.50(x - 5)) \cdot 1.10
$$
5. **Conclusion:**
The correct equation is option (E).
Cell Plan Cost 34A6E0
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.