Question

The length of the side of a square is equal to the perimeter of the square divided by four. Which shows the correct graph relating the perimeter of a square on the x-axis to the side length of a square on the y-axis?

On a coordinate plane, the x-axis is labeled Perimeter of a square, and the y-axis is labeled Side length of a square. A line goes through points (4, 1), (8, 2).

On a coordinate plane, the x-axis is labeled Perimeter of a square, and the y-axis is labeled Side length of a square. A line goes through points (1, 4) and (2, 8).

On a coordinate plane, the x-axis is labeled Perimeter of a square, and the y-axis is labeled Side length of a square. A line goes through points (4, 2) and (8, 3).

On a coordinate plane, the x-axis is labeled Perimeter of a square, and the y-axis is labeled Side length of a square. A line goes through points (1, 5) and (2, 9).

Answer 1

A

Explanation:

Answer 2

On a coordinate plane, the x-axis is labeled Perimeter of a square, and the y-axis is labeled Side length of a square. A line goes through points (4, 1), (8, 2).

Explanation:

Let

x ----> the perimeter of the square

y ---> the side length of the square

Remember that

The perimeter of the square is given by the expression

`P=4b`

where

b is the length side of the square

solve for b

`b=(1)/(4)P`

That means

A ordered pair in the coordinate plane following the rule

(x,y) -----> (x,x/4)

The y-coordinate is equal to the x-coordinate divided by 4

y=x/4

therefore

On a coordinate plane, the x-axis is labeled Perimeter of a square, and the y-axis is labeled Side length of a square. A line goes through points (4, 1), (8, 2).

Because

For the point (4,1)

substitute in the linear equation the value of x

y=4/4=1 ----> is ok

For the point (8,2)

substitute in the linear equation the value of x

y=8/4=2 ----> is ok