To determine how much Marcel will need to borrow for his first year of college, we need to calculate his total costs and subtract the total amount he can pay through grants, scholarships, and work-study.
Let's go through the calculations step-by-step:
1. Calculate Total Costs:
- Tuition & Fees: \[tex]$12,500
- Room & Board: \$[/tex]8,200
Adding these together:
[tex]\[
\text{Total Costs} = \$12,500 + \$8,200 = \$20,700
\][/tex]
2. Calculate Total Payments:
- Grants & Scholarships: \[tex]$6,500
- Work-Study: \$[/tex]9,800
Adding these together:
[tex]\[
\text{Total Payments} = \$6,500 + \$9,800 = \$16,300
\][/tex]
3. Calculate the Remaining Balance:
- Subtract total payments from total costs to find out how much Marcel will need to borrow.
[tex]\[
\text{Balance} = \text{Total Costs} - \text{Total Payments} = \$20,700 - \$16,300 = \$4,400
\][/tex]
Therefore, Marcel will need to borrow \[tex]$4,400 for his first year. The correct answer is:
\[
\$[/tex]4,400
\]
