Check each provided formula to see which of them describes the data on the table correctly.
A) A=s
[tex]\begin{gathered} s=1\Rightarrow A=1 \\ s=2\Rightarrow A=2 \\ s=7\Rightarrow A=7 \\ s=8\Rightarrow A=8 \end{gathered}[/tex]B) A=(s)(s)
[tex]\begin{gathered} s=1\Rightarrow A=1\times1=1 \\ s=2\Rightarrow A=2\times2=4 \\ s=7\Rightarrow A=7x7=49 \\ s=8\Rightarrow A=8\times8=64 \end{gathered}[/tex]C) A=2+s
[tex]\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}[/tex]D) A=s+s
[tex]\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}[/tex]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:
[tex]A=s\cdot s[/tex]Then, the answer is option B.
