\begin{tabular}{|l|l|l|l|} \hline Item & Rent-to-own payments & Installment plan & Retail price \\ \hline Television & \[tex]$27 per week for one year & \$[/tex]71 per month for 12 months & \[tex]$480 \\
\hline
Refrigerator & \$[/tex]28 per week for one year & \[tex]$80 per month for 12 months & \$[/tex]800 \\ \hline \end{tabular}
Maria is considering buying a television and a refrigerator for her new apartment. Her monthly budget is \[tex]$200.
Maria will pay an extra $[/tex]\square[tex]$ if she uses the rent-to-own program to buy the television, rather than waiting until she saves up enough money to pay cash for it. If she saves her money and pays cash, she can purchase a refrigerator in $[/tex]\square$.
Let's break down the problem step-by-step to help Maria with her decision regarding purchasing a television and a refrigerator.
### Television Analysis
1. Rent-to-own plan for the television: - Payment: \[tex]$27 per week
- Duration: 1 year (52 weeks)
Total cost of rent-to-own for the television:
\[
\$[/tex]27 \times 52 = \[tex]$1404
\]
2. Retail price of the television:
- Retail price: \$[/tex]480
3. Extra cost paid using rent-to-own for the television: [tex]\[
\text{Extra cost} = \text{Total cost using rent-to-own} - \text{Retail price}
\][/tex] [tex]\[
\text{Extra cost} = \$1404 - \$480 = \$924
\][/tex]
Maria will pay an extra \[tex]$924 if she uses the rent-to-own program to buy the television instead of saving up and paying cash.
### Refrigerator Analysis
1. Monthly budget:
- Maria's monthly budget: \$[/tex]200
2. Retail price of the refrigerator: - Retail price: \[tex]$800
3. Months needed to save for the refrigerator:
\[
\text{Months needed} = \frac{\text{Retail price}}{\text{Monthly budget}}
\]
\[
\text{Months needed} = \frac{\$[/tex]800}{\[tex]$200} = 4 \text{ months}
\]
Maria will need 4 months of saving her money (with a budget of \$[/tex]200 per month) to purchase the refrigerator for cash.
### Conclusion
1. For the television: - If Maria uses the rent-to-own program, she will pay an extra \[tex]$924.
2. For the refrigerator:
- Maria can buy the refrigerator by saving her monthly budget of \$[/tex]200 for 4 months.
So, the complete answer can be filled in as:
Maria will pay an extra [tex]\( \$924 \)[/tex] if she uses the rent-to-own program to buy the television, rather than waiting until she saves up enough money to pay cash for it. If she saves her money and pays cash, she can purchase a refrigerator in [tex]\( 4 \)[/tex] months.
