To determine which bank charges the least in fees given that a customer writes 26 checks per month, we need to calculate the total monthly fees for each bank.
1. Bank A:
- Monthly Service Fee: \[tex]$7.50
- Per-Check Fee: \$[/tex]0.25
- Total Checks: 26
The total monthly fee for Bank A is calculated as follows:
[tex]\[
\text{Total Fee for Bank A} = 7.50 + (26 \times 0.25) = 7.50 + 6.50 = 14.00
\][/tex]
2. Bank B:
- Monthly Service Fee: None (\[tex]$0.00)
- Per-Check Fee: \$[/tex]0.50
- Total Checks: 26
The total monthly fee for Bank B is calculated as follows:
[tex]\[
\text{Total Fee for Bank B} = 0 + (26 \times 0.50) = 0 + 13.00 = 13.00
\][/tex]
3. Bank C:
- Monthly Service Fee: \[tex]$12.50
- Per-Check Fee: None (\$[/tex]0.00)
- Total Checks: 26
The total monthly fee for Bank C is calculated as follows:
[tex]\[
\text{Total Fee for Bank C} = 12.50 + (26 \times 0) = 12.50 + 0 = 12.50
\][/tex]
4. Bank D:
- Monthly Service Fee: \[tex]$10.00
- Per-Check Fee: \$[/tex]0.10
- Total Checks: 26
The total monthly fee for Bank D is calculated as follows:
[tex]\[
\text{Total Fee for Bank D} = 10.00 + (26 \times 0.10) = 10.00 + 2.60 = 12.60
\][/tex]
Now, we compare the total monthly fees for each bank:
- Bank A: \[tex]$14.00
- Bank B: \$[/tex]13.00
- Bank C: \[tex]$12.50
- Bank D: \$[/tex]12.60
The bank that charges the least in fees is Bank C with a total monthly fee of \$12.50.
Thus, the correct answer is:
D. Bank C
