Rockin' Jon, a music club owner, is planning for the next annual Rockin' Jon's New Year's Eve Jamfest. He has noticed that when he charges more for tickets for the show, fewer people buy tickets. Rockin' Jon's total revenue from selling tickets for the Jamfest, in dollars, can be modeled by the expression p(576–16p), where p is the price per ticket in dollars. This expression can be written in factored form as –16p(p–36).What does the number 36 represent in the expression?

Kevin writes and self-publishes his own quarterly sports magazine, The Fresh Catch. He has found that when he charges more per issue, he sells fewer issues overall that quarter. His revenue from selling the issues, in dollars, can be modeled by the expression p(9000–1500p), where p is the price per issue in dollars. This expression can be written in factored form as –1500p(p–6).What does the number 6 represent in the expression?

The booster club at Preston Hills High School is selling tickets to a fundraiser for the marching band. The club wants to figure out how much to charge per ticket to make $3,600, which is the total cost for six new trumpets. Based on previous fundraisers, the expression –4p+260 can be used to estimate the number of tickets the booster club will sell given the ticket price, p.Which equation can the booster club use to estimate a ticket price that will raise $3,600 in revenue?3,600p=p(–4p+260)3,600=p(–4p+260)What is the lowest ticket price the booster club can use to make $3,600 in revenue?

Select the correct answer from each drop-down menu.An amusement park prices tickets at $55 and sells an average of 500 tickets daily. The management finds, over multiple increases in ticket pricing, that a $2 increase in the price of a ticket leads to an average of 20 fewer tickets being sold in a day.Management uses the combined function P to model the daily earnings of the amusement part, where x is the number of $2 increases in the price of a ticket.𝑃⁡(𝑥)=-40⁢𝑥2−100⁢𝑥+27,500Use the given information to complete the sentences.The constant of the polynomial expression represents the in the price of a ticket.The binomial (500−20⁢𝑥) is a factor of the polynomial expression and represents the in the price of a ticket.

Mack's Knick-Knacks is having a clearance sale on costume jewelry sets next week. The manager wants to find how much to charge per set in order to sell $100 worth. Based on previous clearance events, the manager knows he can use the expression –7p+75 to find the number of sets he will sell based on a set's price, p.Which equation can the manager use to find the price per set needed to sell $100 worth?100=p(–7p+75)100p=p(–7p+75)To the nearest dollar, what is the highest price the manager can use to sell $100 worth of costume jewelry sets?$Submit

The Green Tomato, a new restaurant, is having its grand opening this weekend. To help generate buzz for the event, the owners are raffling off a weekend getaway to the Catskill Mountains. They want to know how much to charge per raffle ticket to make $1,260, which is the total cost of the trip. Based on responses to an online survey, the expression –5p+160 can be used to estimate the number of tickets the owners will sell based on the ticket price, p.What two ticket prices will bring in exactly $1,260 in revenue?