Peyton borrowed some money from her friend in order to help buy a new video game system and agreed to pay the friend back a constant amount each week. Peyton originally borrowed $200 from her friend and after 4 weeks, she still owed her friend $100. Write an equation for the function L(t),L(t), representing the amount Peyton owes her friend after tt weeks.

Answer:[tex]y=200-25x[/tex]Step-by-step explanation:According to the problem, the initial condition is $200. If he owed $100 after 4 weeks, that means he paid $25 per week, so that would be the constant ratio. Therefore, the expression would be:[tex]y=200-25x[/tex]Where [tex]y[/tex] represents the amount owed, and [tex]x[/tex] represents weeks.So, in the 4 week, that is, [tex]x=4[/tex] he owed:[tex]y=200-25(4)=200-100=100[/tex]As you can observe, the relation we found first perfectly to the problem. So, the final expression that model this problem is[tex]y=200-25x[/tex]