Question

a local department store offers two payments plans for buying a $270 skateboard.plan 1: a fixed weekly payment of $10.80plan 2: a 120 initial payment plus $6 per weekfor each plan how much money is owed after 12 weeks?plan 2: owes _______ after 12 weeksplan 1 owes ____ after 12 weeksthe blanks are the ones I need help with.

Answer 1

Problem Statement

The question says a store offers two payment plans; plan 1 is a fixed payment of $10.80 every week and plan 2 is a $6.00 per week payment, with an initial deposit of $120.

We are asked to find the how much would be owed after 12 weeks in both plans.

Solution

Plan 1:

The question says plan 1 is a fixed payment every week of $10.80. This means that every week, one would have to pay $10.80.

This means that:

Week 1, we pay $10.80

Week 2, we pay $10.80, so the total payment would be 2 x $10.80

Week 3, we pay $10.80, so the total payment would be 3 x $10.80

Week 4, we pay $10.80, so the total payment would be 4 x $10.80

There is a pattern to this payment. We can see that for any Week n,

we pay $10.80, so the total payment would be n x $10.80.

Thus, the total payment after 12 weeks is:

`\begin{gathered} 12*\text{ \$}10.80 \\ =\text{ \$129.60} \end{gathered}`

Plan 2:

The question says that an initial payment of $120 is made for plan 2. This would mean that the total amount paid on the very first instance of buying the skateboard would be $120.

After paying this $120, the payment becomes $6 per week.