Question

Ava borrowed some money from her friend in order to help buy a new video game system. Ava agreed to pay back her friend $2 per week, and after 5 weeks, Ava still owed her friend $10. Write an equation for L, in terms of t, representing the amount Ava owes her friend after t weeks.

Answer 1

We know that Ava is paying $2 dollars per week so if L is the money that she owes and t is the number of weeks, and I is the initial debt so we can write an equation like:

$L=I-2t$

Now we can replace the info we have to find the value of I so:

$10=I-2(5)$

and we solve for I

$\begin{gathered} I=10+10 \\ I=20 \end{gathered}$

So the final equation will be:

$L=20-2t$