Final answer:
To determine the number of checks that would make the two accounts cost the same, we need to set up an equation. Let x be the number of checks. For account A, the cost is $10 + $0.10x. For account B, the cost is $12 + $0.05x. We can set these two costs equal to each other and solve for x. Therefore, a person would have to write 40 checks for the two accounts to cost the same.
Step-by-step explanation:
To determine the number of checks that would make the two accounts cost the same, we need to set up an equation. Let x be the number of checks. For account A, the cost is $10 + $0.10x. For account B, the cost is $12 + $0.05x. We can set these two costs equal to each other and solve for x:
$10 + $0.10x = $12 + $0.05x
Subtract $0.05x from both sides:
$0.05x = $2
Divide both sides by $0.05:
x = 40
Therefore, a person would have to write 40 checks for the two accounts to cost the same.