From the problem we know that Hanna saves one-half of her paycheck each week, so she saves [tex]( \frac{1}{2})(160)= \frac{160}{2} =80[/tex]. 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 [tex]80+50=130[/tex].
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 [tex]n[/tex] representing the number of weeks, we can model the situation as follows:
[tex]f(n)=1280+130n[/tex]
