A university organizes an event in which all tenth-grade students from three school districts are invited to visit the university campus. Each school district serves students from kindergarten through twelfth grade. The organizers expect 10% of the invited students to attend.
Part A.
Write an equation that can be used to predict the total number of tenth-grade students expected to attend. Describe the assumptions you used to determine your equation.
Enter your equation and your work in the space provided
Let's assume that each school district has the same number of students in each grade level, and that the distribution of students across grade levels within each school district is uniform. Let's also assume that the number of tenth-grade students in each school district is independent of the number of students in other grade levels.
Let:
N = total number of tenth-grade students invited
P = proportion of invited students expected to attend (10% or 0.1)
n = total number of students in each grade level within each school district
The total number of tenth-grade students expected to attend can be predicted by the equation:
Total number of expected tenth-grade students = N * P
If we want to consider the total number of tenth-grade students in all three school districts, we can modify the equation to:
Total number of expected tenth-grade students = 3 * n * P
Therefore, the equation that can be used to predict the total number of tenth-grade students expected to attend is:
Total number of expected tenth-grade students = 3 * n * 0.1.