Question

At a high school football game, admission is $5 for students and $10 for non-students. There were 500 people at the first game, and the schoolmade $4,000 from admissions. In this activity, you will find the number of students and non-students at the game.Part B In what two ways are the unknown quantities in a linear relationship? The two unknown quantities are the number of students and non-students.

Answer 1

`\begin{gathered} x=Number\text{ of students} \\ y=\text{Number of non}-\text{students} \\ x+y=500\text{ (1)} \\ 5x+10y=4000\text{ (2)} \\ \text{From 1} \\ x=500-y \\ In\text{ 2} \\ 5(500-y)+10y=4000 \\ 2500-5y+10y=4000 \\ 2500+5y=4000 \\ 5y=4000-2500 \\ 5y=1500 \\ y=(1500)/(5) \\ y=300 \\ x=500-300 \\ x=200 \\ At\text{ the game were 200 students and 300 non-students } \\ \\ B\text{. The functions 1 and 2 are the two linear relationship} \\ \end{gathered}`