Bank A charges a monthly service fee of $5.00 and a per-check fee of $0.15,
B while Bank B charges a monthly service fee of $2.50 and a per-check fee of
$0.35. Which of these numbers of monthly checks will cause Bank A to
charge less in fees than Bank B?

Respuesta :

for 5 monthly checks, both banks charge the same amount.

for x < 5, Bank B charges less.

for x > 5, Bank A charges less.

For what numbers of monthly checks will Bank A charge less than Bank B?

Bank A charges a fixed fee of $5.00 plus $0.15 per-check fee.

So, if you do x monthly checks, Bank A will charge you:

A(x) = $5.00 + $0.15*x

Bank B charges a service fee (fixed) of $2.50 plus $0.35 per check, then for x monthly checks they charge:

B(x) = $2.50 + $0.35*x

Both banks will charge the same amount when:

A(x)=  B(x)

So we need to solve the linear equation:

$5.00 + $0.15*x = $2.50 + $0.35*x

$5.00 - $2.50 = $0.35*x + $0.15*x

$2.50 = $0.50*x

$2.50/$0.50 = x = 5

So, for 5 monthly checks, both banks charge the same amount.

for x < 5, Bank B charges less.

for x > 5, Bank A charges less.

If you want to learn more about linear equations:

https://brainly.com/question/1884491

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