Respuesta :
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 [tex]y=mx+b[/tex], 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: [tex]y=0.25x+7.5[/tex]
Bank B: [tex]y=0.50x[/tex]
Bank C: [tex]y=15[/tex]
Bank D: [tex]y=0.10x+10[/tex]
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: [tex]y=0.25\times 23+7.5=\$ 13.25[/tex]
Bank B: [tex]y=0.50\times 23=\$ 11.5[/tex]
Bank C: [tex]y=\$ 15[/tex]
Bank D: [tex]y=0.10\times 23+10=\$ 12.3[/tex]
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 = [tex]7.50+0.25(23)[/tex] = $13.25
When 23 checks are signed from bank B:
Charges will be = [tex]0+0.50(23)[/tex] = $11.50
When 23 checks are signed from bank C:
Charges will be = [tex]15+0(23)[/tex] = $15
When 23 checks are signed from bank D:
Charges will be = [tex]10+0.10(23)[/tex] = $12.30
Hence, comparing all the banks, we can say that Bank B charges the least. So, Bank B is the correct option.
