Exercise 39 Page 680

We are told that $30$ video game tokens are shared equally among a group of friends. We want to find the type of variation that this situation represents. The total number of tokens divided by the number of people gives us the number of tokens per person. Let's make a table to examine how the variables vary.

Total Number of Tokens	Number of People	Number of Tokens per Person
$30$	$2$	$\frac{3 0}{2} = 15$
$30$	$3$	$\frac{3 0}{3} = 10$
$30$	$5$	$\frac{3 0}{5} = 6$
$30$	$10$	$\frac{3 0}{1 0} = 3$

Notice that the number of tokens per person decreases as the number of people in the group increases, and the total number of tokens is constant at $30 .$ Let's write an equation to represent this situation.

The product of the number of people and the number of tokens per person equals the constant $30 .$ Therefore, there is an inverse variation between the number of people in the group and the number of tokens per person.