Answer:
500 ≥ 245.50
500 - 245.50 ≥ 0
254.50 ≥ 0
Therefore, she needs to deposit at least $245.50 to avoid a fee.
Explanation:
Let x be the least amount of money she needs to deposit to avoid a fee.
The balance in her checking account after writing the check would be (500 - 245.50) = 254.50.
To avoid a fee, the balance must be greater than or equal to 500, so we can write the inequality as:
x + 254.50 ≥ 500
Solving for x, we get:
x ≥ 500 - 254.50
x ≥ 245.50