Question

timothy has a set of plastic square the table shows the relationship between a the area of each square in square centimeters and s, the side length of each square in centimeters which equation can be used to represent the relationship between a and s for these squares?

Answer 1

Check each provided formula to see which of them describes the data on the table correctly.

A) A=s

`\begin{gathered} s=1\Rightarrow A=1 \\ s=2\Rightarrow A=2 \\ s=7\Rightarrow A=7 \\ s=8\Rightarrow A=8 \end{gathered}`

B) A=(s)(s)

`\begin{gathered} s=1\Rightarrow A=1*1=1 \\ s=2\Rightarrow A=2*2=4 \\ s=7\Rightarrow A=7x7=49 \\ s=8\Rightarrow A=8*8=64 \end{gathered}`

C) A=2+s

`\begin{gathered} s=1\Rightarrow A=1+2=3 \\ s=2\Rightarrow A=2+2=4 \\ s=7\Rightarrow A=7+2=9 \\ s=8\Rightarrow A=8+2=10 \end{gathered}`

D) A=s+s

`\begin{gathered} s=1\Rightarrow A=1+1=2 \\ s=2\Rightarrow A=2+2=4 \\ s=7\Rightarrow A=7+7=14 \\ s=8\Rightarrow A=8+8=16 \end{gathered}`

As we can see, the only relation that reproduces the data on the table is that of option B.

Therefore, the equation that can be used to represent the relationship between A and s for these squares, is:

`A=s\cdot s`

Then, the answer is option B.