The checking account fees for banks a, b, c, and d are shown in the table below.
monthly service fee per-­check fee
bank a $7.50 $0.25
bank b none $0.50
bank c $15.00 none
bank d $10.00 $0.10
if a customer writes 23 checks per month, which bank will charge her the least in fees? show your work.

Bank B charges the least fee of $11.5

Step-by-step explanation:

We know that, the general form of a linear equation is , where m= rate and b= fixed constant.

The linear equations representing the account fee (y) for each bank,

where m = Per-Check Fee, b = Monthly Service fee and x = number of checks per month are given by,

Bank A:

Bank B:

Bank C:

Bank D:

Since, the customer writes 23 checks per month. Then, x = 23.

Substituting x = 23 gives us the account fee for each bank is,

Bank A:

Bank B:

Bank C:

Bank D:

Bank B is the right answer. It charges the least.

Step-by-step explanation:

When 23 checks are signed from bank A:

Charges will be = = $13.25

When 23 checks are signed from bank B:

Charges will be = = $11.50

When 23 checks are signed from bank C:

Charges will be = = $15

When 23 checks are signed from bank D:

Charges will be = = $12.30

Hence, comparing all the banks, we can say that Bank B charges the least. So, Bank B is the correct option.