The checking account fees for Banks A, B, C, and D are shown in the table below.

\begin{tabular}{|l|l|l|}
\hline
& Monthly Service Fee & Per-Check Fee \\
\hline
Bank A & [tex]$\$[/tex] 7.50[tex]$ & $[/tex]\[tex]$ 0.25$[/tex] \\
\hline
Bank B & None & [tex]$\$[/tex] 0.50[tex]$ \\
\hline
Bank C & $[/tex]\[tex]$ 12.50$[/tex] & None \\
\hline
Bank D & [tex]$\$[/tex] 10.00[tex]$ & $[/tex]\[tex]$ 0.10$[/tex] \\
\hline
\end{tabular}

If a customer writes 26 checks per month, which bank will charge him the least in fees?

A. Bank C
B. Bank A
C. Bank D
D. Bank B



Answer :

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