Answer:
![x-200+y](https://img.qammunity.org/2021/formulas/mathematics/high-school/1tn0dmr8tssql3ubabvbvsfg1rqkp1nufx.png)
Explanation:
We can determine the algebraic expression that represents her current available credit by first finding her new balance using the formula:
Previous balance - Payments + Total Purchases = New balance
where, previous balance = $1000; payments = $800; total Purchases = y
New balance =
![1000-800+y](https://img.qammunity.org/2021/formulas/mathematics/high-school/5pyyfnmqsxvpmp38q26jd7ggjkyl9vlgrt.png)
Next, to find her Credit balance or current available; we use the formula; Credit line - New balance
where credit balance = x; new balance =
![1000-800+y](https://img.qammunity.org/2021/formulas/mathematics/high-school/5pyyfnmqsxvpmp38q26jd7ggjkyl9vlgrt.png)
Current available credit =
![x-200+y](https://img.qammunity.org/2021/formulas/mathematics/high-school/1tn0dmr8tssql3ubabvbvsfg1rqkp1nufx.png)