Question

Arezo borrowed $2,500 from her grandfather. This graph shows the balance remaining on Arezo’s debt after she makes each payment. Using this graph, how much will she owe after 4 payments?

Answer 1

Answer:

She will owe $500

Step-by-step explanation:

Answer 2

Answer:

She will owe $500 after 4 payments.

Step-by-step explanation:

With the help of graph

Number of payments (x)      Balance remaining(y)

         0                                         2500

         1                                          2000

         2                                         1500

Since it is linear function .

So, we will use two point slope form to find the equation for the given situation.

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$   ----A

$(x_1,y_1)=(0,2500)$

$(x_2,y_2)=(1,2000)$

Substitute the values in A

$y-2500=\frac{2000-2500}{1-0}(x-0)$

$y-2500=-500x$

$y=-500x+2500$

Where x is the number of payments

y is the remaining payment

This equation represents the given situation.

So, to find the amount remaining after 4 payments .Substitute x =4

$y=-500(4)+2500$

$y=-2000+2500$

$y=500$

Hence she will owe $500 after 4 payments.