Chapter 6, Problem 28SGR

To determine

To calculate:Tofind if the set of numbers are proportional

Answer to Problem 28SGR

The set of numbers are NOT proportional

Explanation of Solution

Given information:Set of numbers are

Number of People	2	4	6	8
Brownies Eater	2	5	7	10

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:

Number of People	2	4	6	8
Brownies Eater	2	5	7	10

Set of numbers are $\left(2,2\right)$ , $\left(4,5\right)$ , $\left(6,7\right)$ and $\left(8,10\right)$

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

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

On reducing the above fraction,

  $\frac{2}{2}=1$

Now, consider $\left(4,5\right)$

Writing it as fraction, $\frac{4}{5}$

This cannot be reduced further.

Now, consider $\left(6,7\right)$

Writing it as fraction, $\frac{6}{7}$

This cannot be reduced further.

Now, consider $\left(8,10\right)$

Writing it as fraction, $\frac{8}{10}$

On reducing the above fraction,

  $\frac{8}{10}=\frac{4}{5}$

Since reduced fractions are not same, hence the given set of numbers are NOT proportional