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\begin{tabular}{|c|c|}
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\[tex]$10,000 & \$[/tex]7,000 \\
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Room \& Board & Work-Study \\
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\[tex]$11,500 & \$[/tex]4,000 \\
\hline
\end{tabular}

\begin{tabular}{|c|c|}
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\multicolumn{2}{|c|}{Financial Analysis for Option B} \\
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Costs per Year & Financial Aid Package per Year \\
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Tuition \& Fees & Scholarships \& Grants \\
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\[tex]$28,000 & \$[/tex]18,000 \\
\hline
Room \& Board & Work-Study \\
\hline
\[tex]$9,000 & \$[/tex]4,000 \\
\hline
\end{tabular}

Which statement about the costs per year is true?

A. Option A will save her \[tex]$4,500.

B. Option B will save her \$[/tex]7,000.

C. Option B will save her \[tex]$11,000.

D. Option A will save her \$[/tex]15,500.

Sagot :

GinnyAnsweridn
To determine which statement about the yearly costs is true, let's carefully analyze both options A and B step-by-step:

### Option A:

1. Costs:
- Tuition & Fees: \[tex]$28,000 - Room & Board: \$[/tex]10,000
- Total Costs: \[tex]$28,000 + \$[/tex]10,000 = \[tex]$38,000 2. Financial Aid: - Scholarships & Grants: \$[/tex]18,000
- Work-Study: \[tex]$7,000 - Total Financial Aid: \$[/tex]18,000 + \[tex]$7,000 = \$[/tex]25,000

3. Out-of-Pocket Cost:
- Out-of-Pocket = Total Costs - Total Financial Aid
- Out-of-Pocket = \[tex]$38,000 - \$[/tex]25,000 = \[tex]$13,000 ### Option B: 1. Costs: - Tuition & Fees: \$[/tex]28,000
- Room & Board: \[tex]$9,000 - Total Costs: \$[/tex]28,000 + \[tex]$9,000 = \$[/tex]37,000

2. Financial Aid:
- Scholarships & Grants: \[tex]$18,000 - Work-Study: \$[/tex]4,000
- Total Financial Aid: \[tex]$18,000 + \$[/tex]4,000 = \[tex]$22,000 3. Out-of-Pocket Cost: - Out-of-Pocket = Total Costs - Total Financial Aid - Out-of-Pocket = \$[/tex]37,000 - \[tex]$22,000 = \$[/tex]15,000

### Savings Comparison:

To determine which option saves more, compare the out-of-pocket costs:

- Savings from Option A compared to Option B:
- A Saves = \[tex]$15,000 (Option B Out-of-Pocket) - \$[/tex]13,000 (Option A Out-of-Pocket) = \[tex]$2,000 - Savings from Option B compared to Option A: - B Saves = \$[/tex]13,000 (Option A Out-of-Pocket) - \[tex]$15,000 (Option B Out-of-Pocket) = -\$[/tex]2,000

Since negative savings indicate additional expenses rather than savings, let's look at the provided statements again:

- Option A will save her \[tex]$4,500. (Incorrect, Option A saves \$[/tex]2,000)
- Option B will save her \[tex]$7,000. (Incorrect, Option B results in an additional expense of \$[/tex]2,000)
- Option B will save her \[tex]$11,000. (Incorrect, Option B results in an additional expense of \$[/tex]2,000)
- Option A will save her \[tex]$15,500. (Incorrect, Option A saves \$[/tex]2,000)

None of the provided statements are accurate with respect to the given numerical results. The correct saving here, based on the calculations, is that Option A will save her \$2,000 compared to Option B.
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