Question

Perimeters of Squares (cm) 8 7 6 5 4 3 2. 1 0 1 2 3 4 5 6 7 8 9 Length of Sides of Squares (cm) Look at this graph of data, If the graph represents the length of sides and the perimeter of different squares, what would be another ordered pair? A. (3,7) B. (12,3) C. (3,12) D. (4,12) Item #24084 HU

Answer 1

We have a linear function that relates length of sides of squares and perimeter of the squares.

We can derive the function knowing that the perimeter is the sum of the length of the sides. If a square has 4 equal sides, the perimeter will be 4 times the length side.

Then, if perimeter is y and side length is x, we will have the relation:

`y=4x`

Then, we can test for each value of x, what is the value of the perimeter y:

`\begin{gathered} A)x=3\longrightarrow y=4\cdot3=12\\eq7 \\ B)x=12\longrightarrow y=4\cdot12=48\\eq3 \\ C)x=3\longrightarrow y=4\cdot3=12 \\ D)x=4\longrightarrow y=4\cdot4=16\\eq12 \end{gathered}`

Answer: The only correct ordered pair is (3,12) [Option C]