A number of squares are connected in a row to form a rectangle. The
table shows the relationship between the number of squares, x, and the
perimeter, y, of the rectangles they form. Select all the true statements
about this relation.

A number of squares are connected in a row to form a rectangle The table shows the relationship between the number of squares x and the perimeter y of the recta class=

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Answer:

✅The relation is a function

✅The graph of the function is linear

✅The table can be represented by the equation, [tex] y = 4x + 4 [/tex]

Step-by-step explanation:

✅The relation is a function because each domain (number of squares) has exactly one range (perimeter).

✅The graph of the function is linear because the difference between any two successive y-values gives us the same value of 4.

That is: 12 - 8 = 16 - 12 = 20 - 16 = 4.

✅The table can be represented by the equation, [tex] y = 4x + 4 [/tex], because if we substitute any pair of values (x, y) into the equation, the equation would be true.

For example, using the pair (1, 8), substitute x = 1, and y = 8 in [tex] y = 4x + 4 [/tex].

Thus:

[tex] 8 = 4(1) + 4 [/tex]

[tex] 8 = 8 [/tex] (True).

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