To determine which bank will charge the least in fees for a customer writing 26 checks per month, we need to calculate the total monthly fees for each bank. Here's how we do it step-by-step:
### Bank A:
- Monthly service fee: [tex]$7.50
- Per-check fee: $[/tex]0.25
- Number of checks written: 26
Total fees for Bank A:
[tex]\[
\text{Total fees} = \text{Monthly service fee} + (\text{Per-check fee} \times \text{Number of checks})
\][/tex]
[tex]\[
\text{Total fees} = 7.50 + (0.25 \times 26) = 7.50 + 6.50 = 14.00
\][/tex]
### Bank B:
- Monthly service fee: None (or [tex]$0.00)
- Per-check fee: $[/tex]0.50
- Number of checks written: 26
Total fees for Bank B:
[tex]\[
\text{Total fees} = \text{Monthly service fee} + (\text{Per-check fee} \times \text{Number of checks})
\][/tex]
[tex]\[
\text{Total fees} = 0.00 + (0.50 \times 26) = 0.00 + 13.00 = 13.00
\][/tex]
### Bank C:
- Monthly service fee: [tex]$12.50
- Per-check fee: None (or $[/tex]0.00)
- Number of checks written: 26 (Note that the per check fee is zero, so no additional cost for checks)
Total fees for Bank C:
[tex]\[
\text{Total fees} = \text{Monthly service fee} + (\text{Per-check fee} \times \text{Number of checks})
\][/tex]
[tex]\[
\text{Total fees} = 12.50 + (0.00 \times 26) = 12.50 + 0.00 = 12.50
\][/tex]
### Bank D:
- Monthly service fee: [tex]$10.00
- Per-check fee: $[/tex]0.10
- Number of checks written: 26
Total fees for Bank D:
[tex]\[
\text{Total fees} = \text{Monthly service fee} + (\text{Per-check fee} \times \text{Number of checks})
\][/tex]
[tex]\[
\text{Total fees} = 10.00 + (0.10 \times 26) = 10.00 + 2.60 = 12.60
\][/tex]
### Comparison and Conclusion:
Now, we compare the total fees from 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:
A. Bank C
