select the correct answer from each drop - down menu. an amusement park prices tickets at $55 and sells an…

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)=-40x² - 100x + 27,500. use the given information to complete the sentences. the constant of the polynomial expression represents the drop - down in the price of a ticket. the binomial (500 - 20x) is a factor of the polynomial expression and represents the drop - down in the price of a ticket. reset next

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)=-40x² - 100x + 27,500. use the given information to complete the sentences. the constant of the polynomial expression represents the drop - down in the price of a ticket. the binomial (500 - 20x) is a factor of the polynomial expression and represents the drop - down in the price of a ticket. reset next

Answer

Answer:

The constant of the polynomial expression represents the initial daily earnings when there are no price - increases. The binomial $(500 - 20x)$ is a factor of the polynomial expression and represents the number of tickets sold.

Explanation:

Step1: Analyze the constant term

The initial ticket price is $55$ and the initial number of tickets sold is $500$. So the initial daily earnings are $55\times500 = 27500$. When $x = 0$ (no price - increases), $P(0)=27500$. So the constant represents the initial daily earnings.

Step2: Analyze the binomial

The initial number of tickets sold is $500$ and for each $x$ (where $x$ is the number of $$2$ increases in price), the number of tickets sold decreases by $20$. So $500 - 20x$ represents the number of tickets sold after $x$ price - increases.