To determine which statement about the cost of the options is true, we need to compare the total costs of both options, taking into account the financial aid for Option B.
### Option A: Costs
- Room & Board: \[tex]$3,000
- Tuition & Fees: \$[/tex]1,000
- Additional Costs: \[tex]$1,000
Total cost for Option A:
\[ \$[/tex]3,000 + \[tex]$1,000 + \$[/tex]1,000 = \[tex]$5,000 \]
### Option B: Costs and Financial Aid
- Tuition & Fees: \$[/tex]10,000
- Room & Board: \[tex]$11,500
Total cost per year for Option B before financial aid:
\[ \$[/tex]10,000 + \[tex]$11,500 = \$[/tex]21,500 \]
### Financial Aid for Option B:
- Scholarships & Grants: \[tex]$15,000
- Work-Study: \$[/tex]4,000
Total financial aid for Option B:
[tex]\[ \$15,000 + \$4,000 = \$19,000 \][/tex]
### Net Cost for Option B:
Total cost for Option B after financial aid:
[tex]\[ \$21,500 - \$19,000 = \$2,500 \][/tex]
### Comparing Costs:
- Total cost for Option A: \[tex]$5,000
- Total cost for Option B after financial aid: \$[/tex]2,500
### Savings:
Savings by choosing Option B:
[tex]\[ \$5,000 - \$2,500 = \$2,500 \][/tex]
### Evaluating Statements:
- Option B will save him \[tex]$1,000. (False)
- Option B will save him \$[/tex]2,000. (False)
- Option A will save him \[tex]$14,000. (False)
- Option A will save him \$[/tex]17,500. (False)
Since none of the provided statements correctly describe the savings of \$2,500, the correct answer to the question is:
None of the above correct options.
