Question

The Carolina panthers play 8 home games each year.Tickets cost an average of $35. The stadium seats 74,000 people. Revenue is a function of the number of tickets sold. For one game which is the range of the function in the context of this situation.

Answer 1

Answer: the range for one game is {$0, $2,590,000}

Explanation:

The revenue, on average, can be written as:

Y = $35*x

where y is the revenue and x is the number of tickets sold.

The domain of this function is equal to {0, 74000} this means that they can sell any whole number of tickets between 0 and 74000.

To find the range we need to evaluate y in bot extremes of the domain (because we have a linear relation)

minimum revenue

y(0) = $35*0 = $0

maximum revenue

y(74000) = $35*74000 = $2,590,000

So the range for one game is {$0, $2,590,000}