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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?

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 class=

Respuesta :

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:

[tex]q=\frac{p-50}{12}[/tex]

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:

[tex]\begin{gathered} q=\frac{p-50}{12} \\ p-50=12q \\ p=12q+50 \end{gathered}[/tex]

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

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