Question

8) When Abdul goes shopping for a couch at a furniture store, a salesperson offers a financing plan with zero interest for one year. To take advantage of the offer, Abdul has to give a down payment of $50. The rest of the purchase price will be evenly split into 12 monthly payments. Part A: Which of the following equations does not show the relationship between the amount in dollars, q, of each monthly payment and the total price in dollars, p, of the couch?

Answer 1

The financing plan is

50 dollars upfront

rest of the remaining money in 12 equal installments

Let "p" be price of couch.

50 given upfront, so remaining "p - 50". This is evenly split into 12 months.

"q" is:

`q=(p-50)/(12)`

This is the relationshp between "q" and "p".

Let's analyze the choices.

First Choice:

THis is exactly what we got. So this is right relationship shown.

Second Choice:

Let's solve for p:

`\begin{gathered} q=(p-50)/(12) \\ p-50=12q \\ p=12q+50 \end{gathered}`

This is second choice. So, it's right.

Third Choice:

The 2nd last line while solving for p is this choice. Thus, third choice is right.

Fourth Choice:

This doesn't give the relationship between p and q properly. It is wrong.

Correct Answer:

12( q + 50 ) = p