\begin{tabular}{|c|c|c|c|}
\hline
& \begin{tabular}{c}
Monthly \\
cost
\end{tabular} & \begin{tabular}{c}
Up-front \\
cost
\end{tabular} & Advantages \\
\hline
\begin{tabular}{c}
Option A \\
Buy a \\
house
\end{tabular} & \[tex]$618 & \$[/tex]24,000 & \begin{tabular}{c}
Home \\
equity, yard \\
for a pet
\end{tabular} \\
\hline
\begin{tabular}{c}
Option B \\
Rent \\
close to \\
work
\end{tabular} & \[tex]$950 & \$[/tex]1,900 & \begin{tabular}{c}
Convenient \\
location, \\
garage, pool
\end{tabular} \\
\hline
\begin{tabular}{c}
Option C \\
Rent \\
farther out
\end{tabular} & \[tex]$600 & \$[/tex]1,200 & \begin{tabular}{c}
2 bedrooms, \\
light-rail, \\
pool
\end{tabular} \\
\hline
\end{tabular}

Which housing choice fits within your recommended monthly budget of \[tex]$650-780?



Which option requires you to have at least \$[/tex]24,000 saved?



Answer :

To determine which housing choices fit within the specified parameters, let's analyze the given information step-by-step.

### Given:

1. Monthly Budget:
- Minimum: \[tex]$650 - Maximum: \$[/tex]780

2. Options:
- Option A: Buy a house
- Monthly cost: \[tex]$618 - Up-front cost: \$[/tex]24,000
- Option B: Rent close to work
- Monthly cost: \[tex]$950 - Up-front cost: \$[/tex]1,900
- Option C: Rent farther out
- Monthly cost: \[tex]$600 - Up-front cost: \$[/tex]1,200

### Step-by-Step Analysis:

#### Step 1: Determine Which Options Fit Within the Monthly Budget
- Option A: Buy a house
- Monthly cost: \[tex]$618 - Fits within \$[/tex]650 - \[tex]$780? Yes (since \$[/tex]650 <= \[tex]$618 <= \$[/tex]780)

- Option B: Rent close to work
- Monthly cost: \[tex]$950 - Fits within \$[/tex]650 - \[tex]$780? No (since \$[/tex]950 > \[tex]$780) - Option C: Rent farther out - Monthly cost: \$[/tex]600
- Fits within \[tex]$650 - \$[/tex]780? No (since \[tex]$600 < \$[/tex]650)

#### Step 2: Determine Which Option Requires At Least \[tex]$24,000 in Savings - Option A: Buy a house - Up-front cost: \$[/tex]24,000
- Requires at least \[tex]$24,000? Yes (since \$[/tex]24,000 >= \[tex]$24,000) - Option B: Rent close to work - Up-front cost: \$[/tex]1,900
- Requires at least \[tex]$24,000? No (since \$[/tex]1,900 < \[tex]$24,000) - Option C: Rent farther out - Up-front cost: \$[/tex]1,200
- Requires at least \[tex]$24,000? No (since \$[/tex]1,200 < \[tex]$24,000) ### Conclusion: 1. Which housing choice fits within your recommended monthly budget of \$[/tex]650 - \[tex]$780? - None of the options fit within this range. 2. Which option requires you to have at least \$[/tex]24,000 saved?
- Option A requires you to have at least \[tex]$24,000 saved. So the correct intersection of our evaluations gives us: - Within the recommended monthly budget: [] - Requires at least \$[/tex]24,000 in savings: ['A']