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

Question

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.