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

She will owe $500

Explanation:

Answer 2

She will owe $500 after 4 payments.

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=(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=(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.