Question

*Please Help* (There are more than 2 answers!)

The table shows the balance of Steven's savings account over time. Assuming there are no withdrawals, if you graph the relationship for Steven's monthly balances, which points will lie on the resulting line?
A. (22, 8,400)
B. (23, 9,200)
C. (24, 8,800)
D. (26, 10,400)
E. (27, 10,600)

Answer 1

Look like both B and D are correct answers. because 23*400=9200 and 26*400=10400

Answer 2

The correct options are B and D.

Explanation:

If a line passing through two points then the equation of line is

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

Choose any two points from the given table.

Let the two points are (1,400) and (3,1200).

The equation of line is

`y-400=(1200-400)/(3-1)(x-1)`

`y-400=400(x-1)`

`y-400=400x-400`

`y=400x`

Steven's monthly balances is defined by the equation

`y=400x`

At x=22,

`y=400(22)=8800`

At x=23,

`y=400(23)=9200`

At x=24,

`y=400(24)=9600`

At x=26,

`y=400(26)=10400`

At x=27,

`y=400(27)=10800`

The points (23, 9,200) and (26, 10,400) lie on the line. Therefore the correct options are B and D.