Please help Algebra word problem

Question

Kelsie works at a concert arena. When the price of a ticket is $30, a concert will be attended by 2,500 people. Each time the price is raised by an increment of $5, there will be 100 fewer people at the concert. Kelsie uses the equation to determine R, the total concert revenue in dollars when there have been n $5 increases in ticket price. Which conclusion is valid? 

 

A:The cost per concert ticket must be less than $55.

B:The number of times the price is raised is represented by

C:The number of people attending the concert is represented by

D:The total concert revenue decreases when the price of a ticket is greater than $30.

Answer 1

Answer (C) is reasonable, providing the following equation is included as representative:

P(x) = 2,500 - 100(x)

where:

P(x) = number of people attending
x = number of $5 ticket price increase(s) for the concert

 

** Kelsie can also note that after 25 ticket price increases there would be nobody attending the concert - all ticket pricing at the concert arena should be planned accordingly !  **