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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.

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MrRoyal

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: [tex]L =8 +2x[/tex]

For the credit union (C)

The equation is: [tex]C = 5 + 5x[/tex]

For credit union to have a better deal, then:

[tex]C > L[/tex]

So, we have:

[tex]5 + 5x > 8 + 2x[/tex]

Collect like terms

[tex]5x - 2x > 8 - 5[/tex]

[tex]3x > 3[/tex]

[tex]x > 1[/tex]

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:

https://brainly.com/question/17675534

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