Tony has $727.29 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $248.50 today. Write and solve an inequality to solve for the least amount of money he needs to deposit to avoid a fee.
Answers
The required inequality for the least amount of money he needs to deposit to avoid a fee is 727.29 - 248.50 + x ≥ 500 and he needs to deposit at least $21.21 in her account to avoid a fee.
What is inequality?
A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.
Now it is given that,
Amount in the account = $727.29
Amount in the check = $248.50
Amount need to maintain = $500
Now let x be the Tony needs to deposit.
So, total balance in the account = 727.29 - 248.50 + x
Since, he must maintain a $500 balance to avoid a fee. That means the balance can be greater than or equal to $500.
Thus the required inequality is:
727.29 - 248.50 + x ≥ 500
Adding alike terms,
468.79 + x ≥ 500
Subtracting 468,79 both the side we get,
x ≥ 500 - 468.79
Solving we get,
x ≥ 21.21
Therefore, he needs to deposit at least $21.21 in her account to avoid a fee.
Thus,the required inequality for the least amount of money he needs to deposit to avoid a fee is 727.29 - 248.50 + x ≥ 500 and he needs to deposit at least $21.21 in her account to avoid a fee.
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727.29-248.50+x>500
x=how much she needs to deposit
478.79+x>500
subtract 478.79 from both sides
x>21.21
at least $21.21
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