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Alejandro lives in a small apartment within walking distance to school. He takes the bus to work, where he makes [tex]$\$[/tex]10[tex]$ per hour after taxes and works 30 hours per week. He wants to save money to buy a $[/tex]\[tex]$6000$[/tex] car within the next 2 years. How could a monthly budget be created to help Alejandro meet his financial goals? Select the best option.

\begin{tabular}{|l|r|r|r|r|}
\hline
Monthly Budget & Budget A & Budget B & Budget C & Budget D \\
\hline
Income & [tex]$\$[/tex]1,500[tex]$ & $[/tex]\[tex]$1,500$[/tex] & [tex]$\$[/tex]1,200[tex]$ & $[/tex]\[tex]$1,200$[/tex] \\
\hline
Expenses & & & & \\
\hline
Rent & [tex]$\$[/tex]600[tex]$ & $[/tex]\[tex]$600$[/tex] & [tex]$\$[/tex]600[tex]$ & $[/tex]\[tex]$600$[/tex] \\
Utilities & [tex]$\$[/tex]100[tex]$ & $[/tex]\[tex]$100$[/tex] & [tex]$\$[/tex]100[tex]$ & $[/tex]\[tex]$100$[/tex] \\
Food & [tex]$\$[/tex]150[tex]$ & $[/tex]\[tex]$550$[/tex] & [tex]$\$[/tex]250[tex]$ & $[/tex]\[tex]$150$[/tex] \\
Bus Pass & [tex]$\$[/tex]25[tex]$ & $[/tex]\[tex]$25$[/tex] & [tex]$\$[/tex]25[tex]$ & $[/tex]\[tex]$25$[/tex] \\
Savings & [tex]$\$[/tex]250[tex]$ & $[/tex]\[tex]$250$[/tex] & [tex]$\$[/tex]250[tex]$ & $[/tex]\[tex]$250$[/tex] \\
\hline
\end{tabular}

a. Budget A
b. Budget B
c. Budget C
d. Budget D

Sagot :

GinnyAnswer
To determine which budget option will allow Alejandro to save at least [tex]$6000 for a car within the next two years, we need to evaluate each budget based on his income and expenses. ### Step-by-Step Solution: 1. Calculate Monthly Income: - Alejandro makes $[/tex]10 per hour.
- He works 30 hours per week.
- Monthly income: [tex]\( \$10 \times 30 \text{ hours/week} \times 4 \text{ weeks/month} = \$1200 \)[/tex].
- According to the table, it appears there are two options for income: [tex]$1500 and $[/tex]1200, possibly indicating different hours worked or additional income sources.

2. Calculate Monthly Expenses for Each Budget:
- Let's break down and sum up the expenses for each budget:
- Budget A:
- Rent: [tex]$600 - Utilities: $[/tex]100
- Food: [tex]$150 - Bus Pass: $[/tex]250
- Savings: [tex]$25 - Total Expenses: \( \$[/tex]600 + \[tex]$100 + \$[/tex]150 + \[tex]$250 + \$[/tex]25 = \[tex]$1125 \) - Budget B: - Rent: $[/tex]600
- Utilities: [tex]$100 - Food: $[/tex]550
- Bus Pass: [tex]$250 - Savings: $[/tex]25
- Total Expenses: [tex]\( \$600 + \$100 + \$550 + \$250 + \$25 = \$1525 \)[/tex]

- Budget C:
- Rent: [tex]$600 - Utilities: $[/tex]100
- Food: [tex]$250 - Bus Pass: $[/tex]250
- Savings: [tex]$25 - Total Expenses: \( \$[/tex]600 + \[tex]$100 + \$[/tex]250 + \[tex]$250 + \$[/tex]25 = \[tex]$1225 \) - Budget D: - Rent: $[/tex]600
- Utilities: [tex]$100 - Food: $[/tex]150
- Bus Pass: [tex]$250 - Savings: $[/tex]25
- Total Expenses: [tex]\( \$600 + \$100 + \$150 + \$250 + \$25 = \$1125 \)[/tex]

3. Calculate Leftover Money for Each Budget:
- Budget A:
- Income: [tex]$1500 - Expenses: $[/tex]1125
- Leftover: [tex]\( \$1500 - \$1125 = \$375 \)[/tex]

- Budget B:
- Income: [tex]$1500 - Expenses: $[/tex]1525
- Leftover: [tex]\( \$1500 - \$1525 = -\$25 \)[/tex]
- Alejandro would have a deficit of [tex]$25 monthly. - Budget C: - Income: $[/tex]1200
- Expenses: [tex]$1225 - Leftover: \( \$[/tex]1200 - \[tex]$1225 = -\$[/tex]25 \)
- Alejandro would have a deficit of [tex]$25 monthly. - Budget D: - Income: $[/tex]1200
- Expenses: [tex]$1125 - Leftover: \( \$[/tex]1200 - \[tex]$1125 = \$[/tex]75 \)

4. Calculate Total Savings Over 2 Years (24 months):
- Budget A:
- Monthly leftover savings: [tex]$375 - Total savings after 24 months: \( \$[/tex]375 \times 24 = \[tex]$9000 \) - Budget B: - Monthly leftover savings: -$[/tex]25
- Total savings after 24 months: [tex]\( -\$25 \times 24 = -\$600 \)[/tex]
- Alejandro cannot save any money and will accumulate debt.

- Budget C:
- Monthly leftover savings: -[tex]$25 - Total savings after 24 months: \( -\$[/tex]25 \times 24 = -\[tex]$600 \) - Alejandro cannot save any money and will accumulate debt. - Budget D: - Monthly leftover savings: $[/tex]75
- Total savings after 24 months: [tex]\( \$75 \times 24 = \$1800 \)[/tex]

5. Evaluate Which Budget Allows Alejandro to Save [tex]$6000: - Among all the budgets, only Budget A allows Alejandro to save $[/tex]6000 within 2 years. In fact, under Budget A, he can save [tex]$9000 in 2 years. - Budgets B and C result in debt scenarios. - Budget D only allows saving $[/tex]1800 in 2 years, which is insufficient for Alejandro's goal.

### Conclusion:
The best option for Alejandro to save at least $6000 for a car within the next 2 years is:

a. Budget A
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