From the problem we know that Hanna saves one-half of her paycheck each week, so she saves

. Also, we know that her parents put $50 in her savings account each week, so the total amount she and her parents put in her saving's account is

.
Since we know that Hanna currently has
$1,280 in her saving's account and each week she and her parents deposit $130 to the account, with
representing the number of weeks, we can model the situation as follows:
