Question

local bank charges ​$8 per month plus 2¢ per check. The credit union charges ​$5 per month plus 5¢ per check. How many checks should be written each month to make the credit union a better​ deal? The credit union is a better deal when writing nothing or fewer checks per month.

Answer 1

The number of checks for credit union to have a better deal is an illustration of inequalities.

The credit union is a better deal when writing 2 or more checks per month.

Let the number of checks be x.

For the local bank (L):

The equation is: $L =8 +2x$

For the credit union (C)

The equation is: $C = 5 + 5x$

For credit union to have a better deal, then:

$C > L$

So, we have:

$5 + 5x > 8 + 2x$

Collect like terms

$5x - 2x > 8 - 5$

$3x > 3$

$x > 1$

Hence, the number of checks per month must be greater than 1 for the credit union to have a better deal.

Read more about inequalities at:

brainly.com/question/17675534