Question

inequalities liz needs to keep no less than 500 in her checking account to avoid fees. she had 524.75 before writting a check for 65.99 how much does she need to deposit into her acount to avoid a fee. use x for unknown
Unit 3 Test Study Guide (equations & inequalities)

Answer 1

To solve this problem, we can represent Liz's situation with an inequality.

1. Start with the amount she has before writing the check:
\[
524.75
\]

2. Subtract the amount of the check she wrote:
\[
524.75 - 65.99
\]

3. After writing the check, we have:
\[
524.75 - 65.99 = 458.76
\]

4. Let \( x \) be the amount Liz needs to deposit to avoid fees. After depositing \( x \), her total amount in the checking account becomes:
\[
458.76 + x
\]

5. To avoid fees, this total must be no less than 500:
\[
458.76 + x \geq 500
\]

6. Now, solve the inequality for \( x \):
\[
x \geq 500 - 458.76
\]
\[
x \geq 41.24
\]

Therefore, Liz needs to deposit at least **$41.24** into her account to avoid a fee.