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.

A new amusement park presold discounted tickets for the opening day as well as upon arrival at the park. The opening day ticket sales for the park, including presales, is represented by this function, where 𝑇⁡(ℎ) is the number of tickets sold h hours after opening at 7:00 a.m.𝑇⁡(ℎ)=386+110⁢ℎℎWhat is the approximate rate of change in the number of tickets sold between 10:00 a.m. and 1:00 p.m.? A. -64 tickets per hour B. -110 tickets per hour C. -21 tickets per hour D. -39 tickets per hour

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below.Use the graph to complete each statement about this situation. The maximum profit the florist will earn from selling celebration bouquets is $.The florist will break-even after one-dollar decreases.The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is

Josh's club at school is selling suckers for a fundraiser. They sold the suckers for $.50$.50 a piece but had to pay a shipping cost of $30$30. The function for their sucker sales is P(s)=.50s−30𝑃(𝑠)=.50𝑠−30, where s𝑠 is the number of suckers sold and P𝑃 represents the profit made. If they sold 150150 suckers, how much profit would they make? Josh's club would make $$ Answer 1 Question 20 for selling 150150 suckers.

Christine's Creamery sells tubs of homemade vanilla ice cream. The total daily profit, in dollars, can be modeled by the function P(x)=–4x2+88x–200, where x is the price of one tub of ice cream, also in dollars.Complete the square to rewrite the function in the form P(x)=a(x–h)2+k. What are the values of a, h, and k?a=h=k=Now use your answers to complete the sentence.The maximum daily profit is $. The creamery can make this amount by charging $ per tub.Submit

Suppose a granola bar company estimates that its monthly cost is 𝐶(𝑥)=500𝑥2+400𝑥C(x)=500x 2 +400x and its monthly revenue is 𝑅(𝑥)=−0.6𝑥3+800𝑥2−300𝑥+600R(x)=−0.6x 3 +800x 2 −300x+600, where x is in thousands of granola bars sold. The profit is the difference between the revenue and the cost.What is the profit function, P(x)?A.𝑃(𝑥)=−0.6𝑥3+1300𝑥2+100𝑥+600P(x)=−0.6x 3 +1300x 2 +100x+600B.𝑃(𝑥)=0.6𝑥3+300𝑥2−700𝑥+600P(x)=0.6x 3 +300x 2 −700x+600C.𝑃(𝑥)=−0.6𝑥3+300𝑥2−700𝑥+600P(x)=−0.6x 3 +300x 2 −700x+600D.𝑃(𝑥)=0.6𝑥3−300𝑥2+700𝑥−600P(x)=0.6x 3 −300x 2 +700x−600SUBMITarrow_backPREVIOUS