Answered

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 :

Bank A

7.5  + (0.25 x 23)    = $ 13.25

Bank B

0 + (0.5 x 23)    = $ 11.5 <<<<<<<<<<<<< Your answer

Bank C   

$15 + 0           =  $15

Bank D
10 + (0.1 x 23)    = $12.3

The bank that has the least fees is Bank B

Answer:

The bank charging the least amount $11.5 is 'Bank B'.

Step-by-step explanation:

The standard form of the linear equation is @@MATH_TOKEN_0@@, where m= rate and b= fixed constant.

So, the equations for the account fee (y) for different banks,

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

Bank A: @@MATH_TOKEN_1@@

Bank B: @@MATH_TOKEN_2@@

Bank C: @@MATH_TOKEN_3@@

Bank D: @@MATH_TOKEN_4@@

Now, a customer writes 23 checks per month. That is, x = 23.

Then, the account fee (y) (in dollars) for different banks are given by,

Bank A: @@MATH_TOKEN_5@@

Bank B: @@MATH_TOKEN_6@@

Bank C: @@MATH_TOKEN_7@@

Bank D: @@MATH_TOKEN_8@@

Hence, the bank charging the least amount $11.5 is 'Bank B'.

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