Answer :
To determine which option is more cost-effective for Callie's college education, we need to compare the total costs for both options.
### Community College (First 2 Years) Costs:
1. Tuition & Fees per Year: [tex]$2,900 2. Room & Board per Year: $[/tex]1,250
3. Scholarships & Grants per Year: [tex]$800 Net Cost per Year for Community College: \[ \text{Net Cost} = (\text{Tuition & Fees} + \text{Room & Board}) - \text{Scholarships & Grants} \] \[ \text{Net Cost} = (2,900 + 1,250) - 800 = 3,350 \] Total Cost for 2 Years at Community College: \[ \text{Total Cost} = 3,350 \times 2 = 6,700 \] ### University (Remaining 2 Years) Costs: 1. Tuition & Fees per Year: $[/tex]9,500
2. Room & Board per Year: [tex]$11,500 3. Scholarships & Grants per Year: $[/tex]10,000
4. Work-Study per Year: [tex]$2,000 Net Cost per Year for University: \[ \text{Net Cost} = (\text{Tuition & Fees} + \text{Room & Board}) - (\text{Scholarships & Grants} + \text{Work-Study}) \] \[ \text{Net Cost} = (9,500 + 11,500) - (10,000 + 2,000) = 9,000 \] Total Cost for 2 Years at University: \[ \text{Total Cost} = 9,000 \times 2 = 18,000 \] ### Option A: Total Cost (Community College + University): \[ \text{Total Cost for Option A} = \text{Total Cost at Community College} + \text{Total Cost at University} \] \[ \text{Total Cost for Option A} = 6,700 + 18,000 = 24,700 \] ### University (All 4 Years) Costs: Total Cost for 4 Years at University: \[ \text{Total Cost for 4 Years at University} = 9,000 \times 4 = 36,000 \] ### Comparison: - Option A (Community College + University): $[/tex]24,700
- Option B (University for 4 Years): [tex]$36,000 Thus, Option A is cheaper than Option B. ### Conclusion: Option A (completing the first two years at a community college and then transferring to a university) is more cost-effective, with a total cost of $[/tex]24,700 compared to Option B's total cost of $36,000. Thus, the most accurate statement is that Option A is cheaper.
### Community College (First 2 Years) Costs:
1. Tuition & Fees per Year: [tex]$2,900 2. Room & Board per Year: $[/tex]1,250
3. Scholarships & Grants per Year: [tex]$800 Net Cost per Year for Community College: \[ \text{Net Cost} = (\text{Tuition & Fees} + \text{Room & Board}) - \text{Scholarships & Grants} \] \[ \text{Net Cost} = (2,900 + 1,250) - 800 = 3,350 \] Total Cost for 2 Years at Community College: \[ \text{Total Cost} = 3,350 \times 2 = 6,700 \] ### University (Remaining 2 Years) Costs: 1. Tuition & Fees per Year: $[/tex]9,500
2. Room & Board per Year: [tex]$11,500 3. Scholarships & Grants per Year: $[/tex]10,000
4. Work-Study per Year: [tex]$2,000 Net Cost per Year for University: \[ \text{Net Cost} = (\text{Tuition & Fees} + \text{Room & Board}) - (\text{Scholarships & Grants} + \text{Work-Study}) \] \[ \text{Net Cost} = (9,500 + 11,500) - (10,000 + 2,000) = 9,000 \] Total Cost for 2 Years at University: \[ \text{Total Cost} = 9,000 \times 2 = 18,000 \] ### Option A: Total Cost (Community College + University): \[ \text{Total Cost for Option A} = \text{Total Cost at Community College} + \text{Total Cost at University} \] \[ \text{Total Cost for Option A} = 6,700 + 18,000 = 24,700 \] ### University (All 4 Years) Costs: Total Cost for 4 Years at University: \[ \text{Total Cost for 4 Years at University} = 9,000 \times 4 = 36,000 \] ### Comparison: - Option A (Community College + University): $[/tex]24,700
- Option B (University for 4 Years): [tex]$36,000 Thus, Option A is cheaper than Option B. ### Conclusion: Option A (completing the first two years at a community college and then transferring to a university) is more cost-effective, with a total cost of $[/tex]24,700 compared to Option B's total cost of $36,000. Thus, the most accurate statement is that Option A is cheaper.
