Hello, thank you for taking the time to post your question!
The key on this type of question is to use the information given in order to set up an algebraic expression. On this one we have
15 + 0.03x = 5 + 0.08x
10 = 0.05x
x = 10/0.05 = 200
meaning that at exactly 200 checks, the costs between the two are equal. that means that you want to write fewer than 200 in order for the credit union to be the better deal
I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)