A group of students is entering a contest to win $1000. The students plan to divide the money equally. Construct a graph that best describes the relationship between the number of students in the group and the amount of prize money each student wims?

To construct a graph that describes the relationship between the number of students and the prize money each student wins, we need to understand how the division of the prize money would work.

Given that the group plans to divide the money equally, the amount of prize money each student wins can be calculated by dividing the total prize money by the number of students in the group.

Let's assume that the total prize money is $1000 and we have a variable "n" to represent the number of students in the group.

To find the amount of prize money each student wins in terms of the number of students (n), we can use the formula:

Prize Money per student = Total prize money / Number of students
Prize Money per student = 1000 / n

Now we can plot this relationship on a graph. In this case, the x-axis will represent the number of students (n), and the y-axis will represent the amount of prize money each student wins.

Here are some points to plot on the graph:
- For n = 1, the amount of prize money per student would be: 1000 / 1 = 1000
- For n = 2, the amount of prize money per student would be: 1000 / 2 = 500
- For n = 3, the amount of prize money per student would be: 1000 / 3 ≈ 333.33
- For n = 4, the amount of prize money per student would be: 1000 / 4 = 250
- And so on...

Plotting these points on the graph and connecting them will give you a graph that represents the relationship between the number of students and the amount of prize money each student wins.