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']
