Which graph best shows the relationship between the length of one side of a square and its perimeter.

explain your answer so i can figure this out in the future..

Step-by-step explanation:

Remember that a square has all four equal sides, which we are gonna call .

Now, the perimeter is defined as the sum of all sides, which is

As you can notice, the perimeter of a square is four times its side. If we call the perimeter, the relation is

That means if each side is 4 units, then its perimeter is 16 units.

If you observe each graph, you would find that the first graph describes this relation. To demonstrate that, let's the slope of the line using (0,0) and (4, 16) which are two points on the line

Notice that the first graph has the same slope (ratio of change) than the expression we deducted.

Therefore, the right answer is the first graph.