Question

Liz needs to keep no less than $500 in her checking account to avoid fees. She had $524.75 before writing a check for $65.99. Which inequality can e used to determine how much she needs to deposit into her account to avoid a fee?

458.76+x>_500
500+>_65.99
458.76+x<_500
500+x<_65.99

Answer 1

To determine how much Liz needs to deposit into her account to avoid a fee, we first need to calculate her balance after writing the check.

Initially, Liz had $524.75 and after writing a check for $65.99, her account balance becomes:

\[
524.75 - 65.99 = 458.76
\]

Now, to avoid fees, she needs to have at least $500 in her account. We can represent the amount she needs to deposit as \( x \). Therefore, the inequality we want to set up to ensure her balance after the deposit is at least $500 is:

\[
458.76 + x \geq 500
\]

Rearranging this format gives us the correct inequality:

\[
x \geq 500 - 458.76
\]

From the provided options, the correct one to use would therefore be:

\[
458.76 + x \geq 500
\]

So, the correct inequality that can be used to determine how much Liz needs to deposit into her account to avoid a fee is:

**\( 458.76 + x \geq 500 \)**.