Aislyn decides to research attendance at sporting events for her project. She finds data on average attendance per game at San Diego Chargers (CA) football games and at Dallas Cowboy (TX) football games. The table shows the average attendance for each team for the 2000 season and the average change in attendance for the three years following 2000. Suppose the attendance for each team continues to increase or decrease at these rates.
Sport San Diego
Chargers (CA) Dallas
Cowboys (TX)
2000 Average Attendance 67,487 61,205
Average Annual Change in Attendance Per Game –1989 +899
4. Using the data, write an expression for the attendance at Chargers Games after “x” years.
5. Using the data, write an expression for the attendance at Cowboys games after “x” years.
6. Using the expressions you wrote in steps 4 and 5, write an equation to find the number of years until the attendance at each event is approximately the same. (Hint: Set your expression for #4 equal to your expression from #5).
no table provided
4. To write an expression for the attendance at Chargers games after "x" years, we can use the initial average attendance in 2000 and the average annual change in attendance per game.
Let's denote the attendance in year x as A(x). The initial average attendance in 2000 is 67,487. The average annual change in attendance per game is -1989.
Therefore, the expression for the attendance at Chargers games after "x" years would be:
A(x) = 67,487 + (-1989 * x)
5. Similarly, to write an expression for the attendance at Cowboys games after "x" years, we can use the initial average attendance in 2000 and the average annual change in attendance per game.
Let's denote the attendance in year x as B(x). The initial average attendance in 2000 is 61,205. The average annual change in attendance per game is +899.
Therefore, the expression for the attendance at Cowboys games after "x" years would be:
B(x) = 61,205 + (899 * x)
6. To find the number of years until the attendance at each event is approximately the same, we need to set the expression for Chargers games attendance (A(x)) equal to the expression for Cowboys games attendance (B(x)).
So we have:
A(x) = B(x)
67,487 + (-1989 * x) = 61,205 + (899 * x)
Now, we can solve this equation to find the value of "x" when the attendance at both events is approximately the same.