Mathematics

Question

Evelyn has $638.54 in her checking account. She must maintain a $500 balance to avoid a fee. She wrote a check for $159.50 today. Write and solve an inequality that would be used for the least amount of money she needs to deposit to avoid a fee.

1 Answer

  • Given:

    • Initial amount in the checking account = $638.54

    ,

    • Amount of balance she must maintain = $500

    ,

    • Amount of check she wrote = $159.50

    Let's write and solve an inequality that would be used for the least amount of money she needs to deposit to avoid a fee.

    Since she wrote a check of $159.50, the balance in the account will be:

    $638.54 - $159.50

    Now, for the inequality which will show the least amount to be deposited to avoid a fee, we have:

    638.54 - 159.50 + x ≥ 500

    Where x represents the amount of money that is to be deposited.

    Now, let's solve the inequality for x.

    479.04 + x 500

    Subtract 479.04 from both sides:

    479.04 - 479.04 + x 500 - 479.04

    x 20.96

    The least amount that should be deposited to avoid a fee is $20.96

    Therefore, the inequality is:

    [tex]638.54-159.50+x\ge500[/tex]

    ANSWER:

    [tex]638.54-159.50+x\ge500[/tex]

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