Answer:
[tex]f(x)= 5x+50[/tex]
Step-by-step explanation:
When the problem says that Jake started by giving her $50, this means that initial money is a constant, it won't change, it already happened, it's invariable. So, that initial money is a constant term, a number without the variable.
Then, the problem specific that Jake will pay her $5 per week, but we don't know how many weeks are, so the unknown quantity, the variable x must represent "weeks", and this "weeks" must be multiplied by 5, because each of them represents $5 payed.
Therefore, the final equation is gonna be a sum of these two terms, the constant term and the variable term:
[tex]f(x)= 5x+50[/tex]
Where [tex]f(x)[/tex] represents the total amount money payed by Jake after a x number of weeks.
