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Regina has $500 in a savings account. She wants to purchase a washer and dryer set for $1,600, and she takes out an interest-free loan at
the store. Her monthly payment is $134. Regina saves an extra $75 each month in addition to her loan payments. What system of
equations could Regina use to determine when she will have enough money to completely pay for the washer and dryer set?
A. y= 134x + 500
y= 1,600 - 100%

B. y= 75x + 500
y= 1,600 - 134x

c. y= 500x + 75
y = 1,600 - 134x

D. y=1,600x + 134
y = 75x -500

Respuesta :

Answer:

B. y= 75x + 500

y= 1,600 - 134x

Explanation:

Hi, the correct option is b.

Regina has $500 in a savings account, and saves an extra $75 each month in addition to her loan payments.

The savings are equal to the product of the monthly savings and the number of months, plus the 500 that she already has saved.

y= 75x + 500  

Where x is the number of months.

She wants to purchase a washer and dryer set for $1,600, and she takes out an interest-free loan at the store. Her monthly payment is $134.  

We have to subtract the product of the monthly payment and the number of months to the total cost of the washer and dryer.

y= 1,600 - 134x

So, the system of equations is :

y= 75x + 500  

y= 1,600 - 134x