To determine which bank charges the least amount in fees when a customer writes 26 checks per month, we need to calculate the total cost for each bank. Here's the step-by-step solution for each bank.
### Bank A:
- Monthly Service Fee: [tex]$7.50
- Per-Check Fee: $[/tex]0.25
Total cost for Bank A:
[tex]\[ \text{Total Fee} = \text{Monthly Service Fee} + (\text{Number of Checks} \times \text{Per-Check Fee}) \][/tex]
[tex]\[ \text{Total Fee} = 7.50 + (26 \times 0.25) \][/tex]
[tex]\[ \text{Total Fee} = 7.50 + 6.50 \][/tex]
[tex]\[ \text{Total Fee} = 14.00 \][/tex]
### Bank B:
- Monthly Service Fee: None ([tex]$0)
- Per-Check Fee: $[/tex]0.50
Total cost for Bank B:
[tex]\[ \text{Total Fee} = \text{Monthly Service Fee} + (\text{Number of Checks} \times \text{Per-Check Fee}) \][/tex]
[tex]\[ \text{Total Fee} = 0 + (26 \times 0.50) \][/tex]
[tex]\[ \text{Total Fee} = 0 + 13.00 \][/tex]
[tex]\[ \text{Total Fee} = 13.00 \][/tex]
### Bank C:
- Monthly Service Fee: [tex]$15.00
- Per-Check Fee: None ($[/tex]0)
Total cost for Bank C:
[tex]\[ \text{Total Fee} = \text{Monthly Service Fee} + (\text{Number of Checks} \times \text{Per-Check Fee}) \][/tex]
[tex]\[ \text{Total Fee} = 15.00 + (26 \times 0.00) \][/tex]
[tex]\[ \text{Total Fee} = 15.00 + 0 \][/tex]
[tex]\[ \text{Total Fee} = 15.00 \][/tex]
### Bank D:
- Monthly Service Fee: [tex]$10.00
- Per-Check Fee: $[/tex]0.10
Total cost for Bank D:
[tex]\[ \text{Total Fee} = \text{Monthly Service Fee} + (\text{Number of Checks} \times \text{Per-Check Fee}) \][/tex]
[tex]\[ \text{Total Fee} = 10.00 + (26 \times 0.10) \][/tex]
[tex]\[ \text{Total Fee} = 10.00 + 2.60 \][/tex]
[tex]\[ \text{Total Fee} = 12.60 \][/tex]
### Comparison of Total Fees:
- Bank A: [tex]$14.00
- Bank B: $[/tex]13.00
- Bank C: [tex]$15.00
- Bank D: $[/tex]12.60
Comparing the total fees, the least amount is $12.60 charged by Bank D.
### Conclusion:
The bank that will charge the least in fees when a customer writes 26 checks per month is:
B. Bank D
