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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.

Verified Answer :

Answer:

Bank B charges the least fee of $11.5

Step-by-step explanation:

We know that, the general form of a linear equation is @@MATH_TOKEN_0@@, 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: @@MATH_TOKEN_1@@

Bank B: @@MATH_TOKEN_2@@

Bank C: @@MATH_TOKEN_3@@

Bank D: @@MATH_TOKEN_4@@

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: @@MATH_TOKEN_5@@

Bank B: @@MATH_TOKEN_6@@

Bank C: @@MATH_TOKEN_7@@

Bank D: @@MATH_TOKEN_8@@

Thus, Bank B charges the least fee of $11.5

Answer:

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 = \(7.50+0.25(23)\) = $13.25

When 23 checks are signed from bank B:

Charges will be = @@MATH_TOKEN_1@@ = $11.50

When 23 checks are signed from bank C:

Charges will be = \(15+0(23)\) = $15

When 23 checks are signed from bank D:

Charges will be = @@MATH_TOKEN_3@@ = $12.30

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

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