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.

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ConlanH202569id ConlanH202569id · Answer 1

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]