Question

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.

Answer 1

✅The relation is a function

✅The graph of the function is linear

✅The table can be represented by the equation,
`y = 4x + 4`

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,
`y = 4x + 4`, 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
`y = 4x + 4`.

Thus:

`8 = 4(1) + 4`

`8 = 8` (True).