Question

Haley is paying back her friend. Currently she owes her friend $25, but she is saving up $4,50 every week to pay them back.intercept form to model this relationship. *Use x and y as your variables.

Answer 1

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:

`y=4.5(x)+25`

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

`0=-4.5(x)+25`

and we solve for x

`x=(25)/(4.5)=5.5`

So in 5 weeks and a half she is going to finish paying the debt