Exercise 2 Page 111

A relation in which each $x\text{-}$value corresponds with exactly one $y\text{-}$value is a function. To explain how we know that the patterns are functions, we will refer to each of the tables. In the tables, we will examine the input values and if each of them only corresponds to one output value, then we can conclude the relation is a function.

Table A

We are given that the rectangle has a width of $x$ and a length of $2x.$ To find the perimeter of the rectangles, we need to add each of the sides. Now, we can substitute each of the given values to find the perimeter of the similar rectangles.

$x$	$1$	$2$	$3$	$4$	$5$
$6x$	$6(1)$	$6(2)$	$6(3)$	$6(4)$	$6(5)$
$P$	$6$	$12$	$18$	$24$	$30$