Question

On a coordinate plane, the x-axis is labeled side length and the y-axis is labeled Perimeter of the square. A line goes through points (0, 0), (1, 4), and (2, 8). Use the graph to complete the ordered pairs to show the relationship between two quantities: the length of a square’s sides and the square’s perimeter. (3, ) (4, ) The relationship between the length of a square’s side and its perimeter is .

Answer 1

A (3,)(4,) which help to you answer the question

Answer 2

The completed ordered pairs are (3, 12) and (4, 16). The relationship between a square's side length and perimeter is linear, with a constant rate of increase of 4, as evident from the given points on the graph.

To find the missing ordered pairs (3, ) and (4, ), we can observe the pattern in the given points (0, 0), (1, 4), and (2, 8). The relationship between the length of a square's side (\( \text{side length} \)) and its perimeter (\( \text{Perimeter} \)) appears to be linear.

The difference in the y-values (Perimeter) between consecutive points is 4, indicating a constant rate of increase. Therefore, we can extend the pattern:

- (3, ) would be (3, 12) since it follows the same rate of increase (8 + 4).

- (4, ) would be (4, 16) following the same pattern (12 + 4).

So, the completed ordered pairs are (3, 12) and (4, 16). The relationship between the length of a square's side and its perimeter is linear with a constant rate of increase of 4.