A minor league hockey team has been collecting ticket sales data over the past year. At a current price of $25 per ticket, an average of 4000 seats are purchased. They predict that for each $1 increase in ticket price, 100 fewer tickets will be sold. Which of the following functions best models the amount of money that the hockey teams expect to collect from ticket sales, y, based on an $x increase in ticket price?

Question

Cheesestick

Mathematics

31 December, 08:50

A minor league hockey team has been collecting ticket sales data over the past year. At a current price of $25 per ticket, an average of 4000 seats are purchased. They predict that for each $1 increase in ticket price, 100 fewer tickets will be sold. Which of the following functions best models the amount of money that the hockey teams expect to collect from ticket sales, y, based on an $x increase in ticket price?

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Answers (1)

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Missie · Answer 1

y = (25+x) (4000-100x)

Step-by-step explanation:

Given,

The original price of each ticket = $ 25,

Let x be the times of $ 1 increment,

So, the new price of each ticket = $ (25+x),

Also, the original number of seats = 4000,

∵ For each $1 increase in ticket price, 100 fewer tickets will be sold,

Thus, the new number of tickets = 4000 - 100x

Since, revenue = price of each tickets * the number of tickets,

Hence, the total amount of money collected,

y = (25+x) (4000-100x)

Which is the required function.