Chapter 6.4, Problem 12PPS

To determine

To complete: the given table and to find whether the patterns forms a proportion or not.

Answer to Problem 12PPS

The set of numbers in given table is proportion.

Explanation of Solution

Given information:

Every two students has five slices of pizza.

Consider the table

Calculation:

Let n is the number of students and p is the slices of pizza..

Then, the equation is $p=\frac{5}{2}n$

  $\begin{array}{l}n=2\Rightarrow p=\frac{5}{2}(2)=5\\ n=4\Rightarrow p=\frac{5}{2}(4)=10\\ n=6\Rightarrow p=\frac{5}{2}(6)=15\\ n=8\Rightarrow p=\frac{5}{2}(8)=20\\ n=10\Rightarrow p=\frac{5}{2}(10)=25\end{array}$

Number of students	$1$	$2$	$3$	$4$	$5$
Slices of pizza	$5$	$10$	$15$	$20$	$25$

The ratio of set of values in each case is equal $=\frac{1}{5}$

Hence,

The set of numbers in given table are proportional.