Answer :
Haley owes 25 dollar, and every week she save $4.50 to pay her so we are going to name our variables like this:
y = money owed
x = number of weeks
and we can write the model like:
[tex]y=4.5(x)+25[/tex]For example, in the week 0 x = 0 and y is going to be equal to 25 that is the initial debt
And for knowing when she is going to be able to pay the debt we rplace y for 0
[tex]0=-4.5(x)+25[/tex]and we solve for x
[tex]x=\frac{25}{4.5}=5.5[/tex]So in 5 weeks and a half she is going to finish paying the debt