Chapter 6, Problem 27SGR

To determine

To calculate:Tofind if the set of numbers are proportional

Answer to Problem 27SGR

The set of numbers are proportional

Explanation of Solution

Given information:Set of numbers are

Boxes	1	2	3	4
Pens	8	16	24	32

Formula Used: In order to find is two ratios are proportional, write them as a fraction and then reduce them to simplest form. If the reduced fractions are the same, the ratios are proportional.

Calculation:

Given set of numbers as follows:

Boxes	1	2	3	4
Pens	8	16	24	32

Set of numbers are $\left(1,8\right)$ , $\left(2,16\right)$ , $\left(3,24\right)$ and $\left(4,32\right)$

Now, consider $\left(1,8\right)$

Writing it as fraction , $\frac{1}{8}$

This cannot be reduced further.

Now, consider $\left(2,16\right)$

Writing it as fraction, $\frac{2}{16}$

On reducing the above fraction,

  $\frac{2}{16}=\frac{1}{8}$

Now, consider $\left(3,24\right)$

Writing it as fraction, $\frac{3}{24}$

On reducing the above fraction,

  $\frac{3}{24}=\frac{1}{8}$

Now, consider

  $\left(4,32\right)$

Writing it as fraction, $\frac{4}{32}$

On reducing the above fraction,

  $\frac{4}{32}=\frac{1}{8}$

Since all the fractions reduced to $\frac{1}{8}$ , hence the given set of numbers are proportional