How does the number of tokens per person change while the number of people in the group increases?
Inverse, see solution.
Practice makes perfect
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
30/2= 15
30
3
30/3= 10
30
5
30/5= 6
30
10
30/10= 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.
