Question

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.

Answer 1

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 2

Answer:

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

Step-by-step explanation:

The standard form of the linear equation is $y=mx+b$, 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: $y=0.25x+7.5$

Bank B: $y=0.5x$

Bank C: $y=15$

Bank D: $y=0.10x+10$

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: $y=0.25\times 23+7.5=\ 13.25$

Bank B: $y=0.5\times 23=\ 11.5$

Bank C: $y=\ 15$

Bank D: $y=0.10\times 23+10=\ 12.3$

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