The number of people and the amount won are illustrations of proportional linear equations.
The relationship is [tex]f(n) = 300n[/tex]
From the complete question (see attachment), we have the following observation:
1 person wins $300
This means that:
Using the above pattern; assume n people wins $300 each.
The relationship between the amount and the people is:
[tex]f(n) = 300n[/tex]
Hence, the required equation is:
[tex]f(n) = 300n[/tex]
Read more about proportions and linear equations at:
https://brainly.com/question/22165997