Chapter 11, Problem 1PT

To determine

To find: whether each table represents an inverse variation.

Answer to Problem 1PT

The table of values does not represent any variation

Explanation of Solution

Given:

x	y
2	10
4	12
8	14

Calculation:

The table is as follows.

x	2	4	8
Y	10	12	14

The objective is to determine whether the table or equation is an inverse or a direct variation.

In an inverse variation, the product of two values remains constant.

Direct variation gives $y=kx$ .

So,

  $\begin{array}{l}\frac{y}{x}=k\\ \frac{10}{2}=5\\ \frac{12}{4}=3\\ \frac{14}{8}=\frac{7}{4}\end{array}$

Since the product of two values $xy$ are not constant. Hence, the table of variables is not an inverse variation.

Also the table of variables does not show the direct variation.

Hence, the table of values does not represent any variation.

Conclusion:

The table of values does not represent any variation