Chapter 1.5, Problem 60PPS

To determine

To prepare:A table for the values obtained by given replacement set and the equation.

Answer to Problem 60PPS

$x$	$y=3x-2$	$y$
$-2$	$4.2\left(-2\right)-1.6=y$	$-10$
$-1$	$4.2\left(-1\right)-1.6=y$	$-5.8$
$0$	$4.2\left(0\right)-1.6=y$	$-1.6$
$1$	$4.2\left(1\right)-1.6=y$	$2.6$
$2$	$4.2\left(2\right)-1.6=y$	$6.8$

Explanation of Solution

Given information:

  $4.2x-1.6=y$

Replacement set $=\left\{-2,-1,0,1,2\right\}$

Calculation:

Let’s substitute the values of replacement set $\left\{-2,-1,0,1,2\right\}$ one by one in the equation-

at $x=-2$ ,

  $\begin{array}{l}4.2x-1.6=y\\ \Rightarrow 4.2\left(-2\right)-1.6=y\\ \Rightarrow y=-10\end{array}$

at $-1$ ,

  $\begin{array}{l}4.2x-1.6=y\\ \Rightarrow 4.2\left(-1\right)-1.6=y\\ \Rightarrow y=-5.8\end{array}$

at 0,

  $\begin{array}{l}4.2x-1.6=y\\ \Rightarrow 4.2\left(0\right)-1.6=y\\ \Rightarrow y=-1.6\end{array}$

at 1,

  $\begin{array}{l}4.2x-1.6=y\\ \Rightarrow 4.2\left(1\right)-1.6=y\\ \Rightarrow y=2.6\end{array}$

at 2,

  $\begin{array}{l}4.2x-1.6=y\\ \Rightarrow 4.2\left(2\right)-1.6=y\\ \Rightarrow y=6.8\end{array}$

Therefore, the table will be given as-

$x$	$y=3x-2$	$y$
$-2$	$4.2\left(-2\right)-1.6=y$	$-10$
$-1$	$4.2\left(-1\right)-1.6=y$	$-5.8$
$0$	$4.2\left(0\right)-1.6=y$	$-1.6$
$1$	$4.2\left(1\right)-1.6=y$	$2.6$
$2$	$4.2\left(2\right)-1.6=y$	$6.8$