Problem

The table shows the side lengths and perimeters of four squares.
\begin{tabular}{|c|c|}
\hline Side Length $(x)$ & Perimeter $(y)$ \\
\hline 4.5 & 18 \\
\hline 8.5 & 34 \\
\hline 10.25 & 41 \\
\hline 13.75 & 55 \\
\hline
\end{tabular}
Which equation represents the relationship between the side length, $x$, and the perimeter, $y$ ?
$y=\frac{1}{4} x$
$y=4 x$
$y=x+13.5$
$y=x-13.5$
Mark this and return

Answer

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Answer

Thus, the equation that represents the relationship between the side length, $x$, and the perimeter, $y$, is \(\boxed{y=4x}\).

Steps

Step 1 :From the table, we can see that the perimeter of each square is four times its side length.

Step 2 :This is because the perimeter of a square is calculated by multiplying the side length by 4.

Step 3 :So, the relationship between the side length, $x$, and the perimeter, $y$, is $y=4x$.

Step 4 :Thus, the equation that represents the relationship between the side length, $x$, and the perimeter, $y$, is \(\boxed{y=4x}\).

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