Question

A football team plays in a large stadium. With a ticket price of $15, the average attendance at recent games has been 20,000. A market survey indicates that for each $1 increase in the ticket price, attendance decreases by 400 people. Express the revenue from a baseball game, R, as a function of the ticket price, x.

Answer 1

R(x) = (20,000 - 400x)(15+x)

Explanation:

Given,

The original price of each ticket = $ 15,

Original number of people or attendance = 20,000

Let the price of each ticket is increased by x times of $ 1,

That is, new price of each ticket = ( 15 + x ) dollars,

∵ for each $1 increase in the ticket price, attendance decreases by 400 people,

So, the new number of people = 20,000 - 400x

Since,

Revenue = number of people × price of each ticket

⇒ R(x) = (20,000 - 400x)(15+x)

Which is the required function.