Let's evaluate each option step-by-step to determine the total cost for each plan:
Option A: [tex]$0 down with equal payments of $[/tex]15 for 9 months
To calculate the total cost for Option A:
- Each month you pay [tex]$15.
- The duration is 9 months.
So the calculation would be:
\[ \text{Total cost for Option A} = 15 \, \text{dollars/month} \times 9 \, \text{months} = 135 \, \text{dollars} \]
Option B: A cash sale for $[/tex]120
For Option B, the total cost is straightforward:
[tex]\[ \text{Total cost for Option B} = 120 \, \text{dollars} \][/tex]
Option C: [tex]$5 down with equal payments of $[/tex]10 for 15 weeks
To calculate the total cost for Option C:
- Initial down payment is [tex]$5.
- Each week you pay $[/tex]10.
- The duration is 15 weeks.
So the calculation would be:
[tex]\[ \text{Total cost for Option C} = 5 \, \text{dollars} + (10 \, \text{dollars/week} \times 15 \, \text{weeks}) = 5 + 150 = 155 \, \text{dollars} \][/tex]
Option D: [tex]$10 down with equal payments of $[/tex]5 for 24 months
To calculate the total cost for Option D:
- Initial down payment is [tex]$10.
- Each month you pay $[/tex]5.
- The duration is 24 months.
So the calculation would be:
[tex]\[ \text{Total cost for Option D} = 10 \, \text{dollars} + (5 \, \text{dollars/month} \times 24 \, \text{months}) = 10 + 120 = 130 \, \text{dollars} \][/tex]
Given these calculations, to find the least expensive plan, we compare the total costs:
- Option A: [tex]$135
- Option B: $[/tex]120
- Option C: [tex]$155
- Option D: $[/tex]130
The least expensive plan is Option B: A cash sale for $120.
