High School

A baseball team plays in a stadium that holds 66000 spectators. With the ticket price at 12, the average attendance has been 29000. When the price dropped to11, the average attendance rose to 33000. What is the relationship between the ticket price and the average attendance?

Answer :

The relationship between ticket price and average attendance in baseball is an example of price elasticity of demand, indicating a negative correlation. The fan price index helps to gauge changes in game attendance costs over time by comparing them to a base year.

The relationship between ticket price and average attendance for a baseball team is an example of price elasticity of demand. This economic principle illustrates how the quantity demanded of a product changes in response to a price change. When the ticket price was lowered from $12 to $11, the average attendance increased from 29,000 to 33,000. This suggests a negative correlation between price and attendance; as the price decreases, the attendance increases.

Calculating the fan price index for different years allows us to understand how the cost of attending a game changes over time. To determine the fan price index for a certain year, we compare the current market basket's total cost with the base year's total cost. For example, with the average market basket costing $191.92 in 2008 and seeing an increase to $197.35 in 2011, we can calculate the index for 2011 using 2008 as the base year.

Fan price index for 2011 using 2008 as base year would be calculated as: (Market basket cost in 2011 / Market basket cost in 2008) imes 100. This index gives us an insight into inflation and changes in the cost of attending a baseball game.