Chapter 8.6, Problem 44SR

To determine

whether each relation shows direct or inverse or neither

Answer to Problem 44SR

  $x\text{ and }y$ Relation show inverse

Explanation of Solution

Given information :

  

Calculation :

Find the products $xy$ and ratios $\frac{y}{x}$

$xy$	$\frac{y}{x}$
$42$	$\frac{14}{3}=0.214$
$42$	$\frac{1.5}{28}=0.0536$
$42$	$\frac{0.75}{56}=0.013$
$42$	$\frac{0.375}{112}=0.003$

Therefore, the products of $x\text{ and }y$ are constant and the ratios of $x\text{ and }y$ are not constant.

Hence, $x\text{ and }y$ relation show inverse.